457706825 has 12 divisors (see below), whose sum is σ = 575552448. Its totient is φ = 361006800.

The previous prime is 457706779. The next prime is 457706833. The reversal of 457706825 is 528607754.

It is not a de Polignac number, because 457706825 - 2²⁴ = 440929609 is a prime.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian 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, 127157 + ... + 130706.

It is an arithmetic number, because the mean of its divisors is an integer number (47962704).

Almost surely, 2^457706825 is an apocalyptic number.

It is an amenable number.

457706825 is a deficient number, since it is larger than the sum of its proper divisors (117845623).

457706825 is a wasteful number, since it uses less digits than its factorization.

457706825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257944 (or 257939 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 44.

The square root of 457706825 is about 21394.0838784931. The cubic root of 457706825 is about 770.6593694266.

The spelling of 457706825 in words is "four hundred fifty-seven million, seven hundred six thousand, eight hundred twenty-five".