457920825 has 12 divisors (see below), whose sum is σ = 757095888. Its totient is φ = 244224400.

The previous prime is 457920811. The next prime is 457920833. The reversal of 457920825 is 528029754.

It is not a de Polignac number, because 457920825 - 2¹⁶ = 457855289 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3052731 + ... + 3052880.

It is an arithmetic number, because the mean of its divisors is an integer number (63091324).

Almost surely, 2^457920825 is an apocalyptic number.

It is an amenable number.

457920825 is a deficient number, since it is larger than the sum of its proper divisors (299175063).

457920825 is a wasteful number, since it uses less digits than its factorization.

457920825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6105624 (or 6105619 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 457920825 is about 21399.0846766865. The cubic root of 457920825 is about 770.7794575120.

The spelling of 457920825 in words is "four hundred fifty-seven million, nine hundred twenty thousand, eight hundred twenty-five".