457088672 has 48 divisors (see below), whose sum is σ = 911736000. Its totient is φ = 225561600.

The previous prime is 457088587. The next prime is 457088711. The reversal of 457088672 is 276880754.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1139672 + ... + 1140072.

It is an arithmetic number, because the mean of its divisors is an integer number (18994500).

Almost surely, 2^457088672 is an apocalyptic number.

It is an amenable number.

457088672 is a deficient number, since it is larger than the sum of its proper divisors (454647328).

457088672 is a wasteful number, since it uses less digits than its factorization.

457088672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 47.

The square root of 457088672 is about 21379.6321764431. The cubic root of 457088672 is about 770.3122767784.

The spelling of 457088672 in words is "four hundred fifty-seven million, eighty-eight thousand, six hundred seventy-two".