457652772 has 72 divisors (see below), whose sum is σ = 1220856000. Its totient is φ = 144151488.

The previous prime is 457652759. The next prime is 457652773. The reversal of 457652772 is 277256754.

457652772 is a `hidden beast` number, since 4 + 57 + 6 + 527 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (457652773) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 409158 + ... + 410274.

Almost surely, 2^457652772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457652772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610428000).

457652772 is an abundant number, since it is smaller than the sum of its proper divisors (763203228).

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

457652772 is a wasteful number, since it uses less digits than its factorization.

457652772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1740 counting only the distinct ones).

The product of its digits is 823200, while the sum is 45.

The square root of 457652772 is about 21392.8205713973. The cubic root of 457652772 is about 770.6290311631.

The spelling of 457652772 in words is "four hundred fifty-seven million, six hundred fifty-two thousand, seven hundred seventy-two".