457102072 has 32 divisors (see below), whose sum is σ = 1000350720. Its totient is φ = 191731680.

The previous prime is 457102067. The next prime is 457102111. The reversal of 457102072 is 270201754.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 457102072.

It is a congruent number.

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, 84204 + ... + 89467.

It is an arithmetic number, because the mean of its divisors is an integer number (31260960).

Almost surely, 2^457102072 is an apocalyptic number.

It is an amenable number.

457102072 is an abundant number, since it is smaller than the sum of its proper divisors (543248648).

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

457102072 is a wasteful number, since it uses less digits than its factorization.

457102072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173731 (or 173727 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 457102072 is about 21379.9455565256. The cubic root of 457102072 is about 770.3198041900.

The spelling of 457102072 in words is "four hundred fifty-seven million, one hundred two thousand, seventy-two".