457038825 has 48 divisors (see below), whose sum is σ = 807448320. Its totient is φ = 227430720.

The previous prime is 457038793. The next prime is 457038851. The reversal of 457038825 is 528830754.

It is not a de Polignac number, because 457038825 - 2⁵ = 457038793 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93082 + ... + 97868.

It is an arithmetic number, because the mean of its divisors is an integer number (16821840).

Almost surely, 2^457038825 is an apocalyptic number.

It is an amenable number.

457038825 is a deficient number, since it is larger than the sum of its proper divisors (350409495).

457038825 is a wasteful number, since it uses less digits than its factorization.

457038825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4886 (or 4881 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 457038825 is about 21378.4663855946. The cubic root of 457038825 is about 770.2842740776.

The spelling of 457038825 in words is "four hundred fifty-seven million, thirty-eight thousand, eight hundred twenty-five".