461902400 has 42 divisors (see below), whose sum is σ = 1136572530. Its totient is φ = 184760320.

The previous prime is 461902381. The next prime is 461902409. The reversal of 461902400 is 4209164.

It can be written as a sum of positive squares in 3 ways, for example, as 43454464 + 418447936 = 6592^2 + 20456^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 461902400.

It is not an unprimeable number, because it can be changed into a prime (461902409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142745 + ... + 145944.

Almost surely, 2^461902400 is an apocalyptic number.

461902400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461902400 is an abundant number, since it is smaller than the sum of its proper divisors (674670130).

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

461902400 is a wasteful number, since it uses less digits than its factorization.

461902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288711 (or 288696 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 461902400 is about 21491.9147588110. The cubic root of 461902400 is about 773.0069636160.

The spelling of 461902400 in words is "four hundred sixty-one million, nine hundred two thousand, four hundred".