457041825 has 48 divisors (see below), whose sum is σ = 843844800. Its totient is φ = 242524800.

The previous prime is 457041791. The next prime is 457041841. The reversal of 457041825 is 528140754.

457041825 is a `hidden beast` number, since 4 + 570 + 4 + 1 + 82 + 5 = 666.

It is not a de Polignac number, because 457041825 - 2⁸ = 457041569 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 457041825.

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, 140821 + ... + 144029.

It is an arithmetic number, because the mean of its divisors is an integer number (17580100).

Almost surely, 2^457041825 is an apocalyptic number.

457041825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

457041825 is a deficient number, since it is larger than the sum of its proper divisors (386802975).

457041825 is a wasteful number, since it uses less digits than its factorization.

457041825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3439 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 457041825 is about 21378.5365495396. The cubic root of 457041825 is about 770.2859594543.

The spelling of 457041825 in words is "four hundred fifty-seven million, forty-one thousand, eight hundred twenty-five".