420146000 has 80 divisors (see below), whose sum is σ = 1028559168. Its totient is φ = 165968000.

The previous prime is 420145969. The next prime is 420146017. The reversal of 420146000 is 641024.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×420146000² = 353045322632000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 420146000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164735 + ... + 167265.

Almost surely, 2^420146000 is an apocalyptic number.

420146000 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 420146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514279584).

420146000 is an abundant number, since it is smaller than the sum of its proper divisors (608413168).

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

420146000 is a wasteful number, since it uses less digits than its factorization.

420146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 420146000 is about 20497.4632576814. The cubic root of 420146000 is about 748.9740044917.

Adding to 420146000 its reverse (641024), we get a palindrome (420787024).

The spelling of 420146000 in words is "four hundred twenty million, one hundred forty-six thousand".