457772 has 12 divisors (see below), whose sum is σ = 915600. Its totient is φ = 196176.

The previous prime is 457757. The next prime is 457789. The reversal of 457772 is 277754.

It is a happy number.

457772 is an admirable number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 457772.

It is an unprimeable number.

457772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8147 + ... + 8202.

It is an arithmetic number, because the mean of its divisors is an integer number (76300).

2⁴⁵⁷⁷⁷² is an apocalyptic number.

It is an amenable number.

457772 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

457772 is a wasteful number, since it uses less digits than its factorization.

457772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16360 (or 16358 counting only the distinct ones).

The product of its digits is 13720, while the sum is 32.

The square root of 457772 is about 676.5885012325. The cubic root of 457772 is about 77.0695946946.

The spelling of 457772 in words is "four hundred fifty-seven thousand, seven hundred seventy-two".