456250624 has 72 divisors (see below), whose sum is σ = 988196328. Its totient is φ = 209387520.

The previous prime is 456250601. The next prime is 456250643. The reversal of 456250624 is 426052654.

It can be written as a sum of positive squares in 4 ways, for example, as 22278400 + 433972224 = 4720^2 + 20832^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 456250624.

It is a congruent number.

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, 177154 + ... + 179710.

It is an arithmetic number, because the mean of its divisors is an integer number (13724949).

Almost surely, 2^456250624 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 456250624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494098164).

456250624 is an abundant number, since it is smaller than the sum of its proper divisors (531945704).

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

456250624 is a wasteful number, since it uses less digits than its factorization.

456250624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 456250624 is about 21360.0239700240. The cubic root of 456250624 is about 769.8412131114.

The spelling of 456250624 in words is "four hundred fifty-six million, two hundred fifty thousand, six hundred twenty-four".