420000 has 120 divisors (see below), whose sum is σ = 1574496. Its totient is φ = 96000.

The previous prime is 419999. The next prime is 420001. The reversal of 420000 is 24.

It is an interprime number because it is at equal distance from previous prime (419999) and next prime (420001).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (420001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59997 + ... + 60003.

2^{420000} is an apocalyptic number.

420000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787248).

420000 is an abundant number, since it is smaller than the sum of its proper divisors (1154496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420000 is an equidigital number, since it uses as much as digits as its factorization.

420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 420000 is about 648.0740698408. The cubic root of 420000 is about 74.8887238722. Note that the first 3 decimals are identical.

Adding to 420000 its reverse (24), we get a palindrome (420024).

The spelling of 420000 in words is "four hundred twenty thousand", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 125 140 150 160 168 175 200 210 224 240 250 280 300 336 350 375 400 420 480 500 525 560 600 625 672 700 750 800 840 875 1000 1050 1120 1200 1250 1400 1500 1680 1750 1875 2000 2100 2400 2500 2625 2800 3000 3360 3500 3750 4000 4200 4375 5000 5250 5600 6000 7000 7500 8400 8750 10000 10500 12000 13125 14000 15000 16800 17500 20000 21000 26250 28000 30000 35000 42000 52500 60000 70000 84000 105000 140000 210000 420000

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