457325600 has 36 divisors (see below), whose sum is σ = 1116448074. Its totient is φ = 182929920.

The previous prime is 457325543. The next prime is 457325639. The reversal of 457325600 is 6523754.

It can be written as a sum of positive squares in 3 ways, for example, as 446223376 + 11102224 = 21124^2 + 3332^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 285029 + ... + 286628.

Almost surely, 2^457325600 is an apocalyptic number.

457325600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457325600 is an abundant number, since it is smaller than the sum of its proper divisors (659122474).

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

457325600 is a wasteful number, since it uses less digits than its factorization.

457325600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571677 (or 571664 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 457325600 is about 21385.1724332538. The cubic root of 457325600 is about 770.4453487135.

The spelling of 457325600 in words is "four hundred fifty-seven million, three hundred twenty-five thousand, six hundred".