456490624 has 64 divisors (see below), whose sum is σ = 971366400. Its totient is φ = 213212160.

The previous prime is 456490607. The next prime is 456490651. The reversal of 456490624 is 426094654.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113089 + ... + 117055.

It is an arithmetic number, because the mean of its divisors is an integer number (15177600).

Almost surely, 2^456490624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456490624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485683200).

456490624 is an abundant number, since it is smaller than the sum of its proper divisors (514875776).

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

456490624 is a wasteful number, since it uses less digits than its factorization.

456490624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 456490624 is about 21365.6412026412. The cubic root of 456490624 is about 769.9761751216.

The spelling of 456490624 in words is "four hundred fifty-six million, four hundred ninety thousand, six hundred twenty-four".