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461423400 = 23352769039
BaseRepresentation
bin11011100000001…
…100001100101000
31012011020201220120
4123200030030220
51421111022100
6113441523240
714302014504
oct3340141450
91164221816
10461423400
11217509259
1210a643520
13747993c9
14453d3304
152a7980a0
hex1b80c328

461423400 has 48 divisors (see below), whose sum is σ = 1430414400. Its totient is φ = 123046080.

The previous prime is 461423399. The next prime is 461423407. The reversal of 461423400 is 4324164.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (461423407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 383920 + ... + 385119.

It is an arithmetic number, because the mean of its divisors is an integer number (29800300).

Almost surely, 2461423400 is an apocalyptic number.

461423400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461423400 is an abundant number, since it is smaller than the sum of its proper divisors (968991000).

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

461423400 is a wasteful number, since it uses less digits than its factorization.

461423400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769058 (or 769049 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 461423400 is about 21480.7681426899. The cubic root of 461423400 is about 772.7396644338.

Adding to 461423400 its reverse (4324164), we get a palindrome (465747564).

The spelling of 461423400 in words is "four hundred sixty-one million, four hundred twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 769039 1538078 2307117 3076156 3845195 4614234 6152312 7690390 9228468 11535585 15380780 18456936 19225975 23071170 30761560 38451950 46142340 57677925 76903900 92284680 115355850 153807800 230711700 461423400