457042625 has 64 divisors (see below), whose sum is σ = 657296640. Its totient is φ = 314496000.

The previous prime is 457042609. The next prime is 457042633. The reversal of 457042625 is 526240754.

It is not a de Polignac number, because 457042625 - 2⁴ = 457042609 is a prime.

It is a super-2 number, since 2×457042625² = 417775922133781250, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3488810 + ... + 3488940.

It is an arithmetic number, because the mean of its divisors is an integer number (10270260).

Almost surely, 2^457042625 is an apocalyptic number.

It is an amenable number.

457042625 is a deficient number, since it is larger than the sum of its proper divisors (200254015).

457042625 is a wasteful number, since it uses less digits than its factorization.

457042625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The square root of 457042625 is about 21378.5552598860. Note that the first 3 decimals coincide. The cubic root of 457042625 is about 770.2864088869.

The spelling of 457042625 in words is "four hundred fifty-seven million, forty-two thousand, six hundred twenty-five".