457820825 has 96 divisors (see below), whose sum is σ = 749952000. Its totient is φ = 268934400.

The previous prime is 457820809. The next prime is 457820833. The reversal of 457820825 is 528028754.

457820825 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 457820825 - 2⁴ = 457820809 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3293606 + ... + 3293744.

It is an arithmetic number, because the mean of its divisors is an integer number (7812000).

Almost surely, 2^457820825 is an apocalyptic number.

It is an amenable number.

457820825 is a deficient number, since it is larger than the sum of its proper divisors (292131175).

457820825 is a wasteful number, since it uses less digits than its factorization.

457820825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 41.

The square root of 457820825 is about 21396.7480005724. The cubic root of 457820825 is about 770.7233462420.

The spelling of 457820825 in words is "four hundred fifty-seven million, eight hundred twenty thousand, eight hundred twenty-five".