457670224 has 40 divisors (see below), whose sum is σ = 970250400. Its totient is φ = 207408000.

The previous prime is 457670207. The next prime is 457670263. The reversal of 457670224 is 422076754.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

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, 57699 + ... + 65149.

It is an arithmetic number, because the mean of its divisors is an integer number (24256260).

Almost surely, 2^457670224 is an apocalyptic number.

457670224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457670224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485125200).

457670224 is an abundant number, since it is smaller than the sum of its proper divisors (512580176).

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

457670224 is a wasteful number, since it uses less digits than its factorization.

457670224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7819 (or 7813 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 37.

The square root of 457670224 is about 21393.2284613613. The cubic root of 457670224 is about 770.6388266877.

The spelling of 457670224 in words is "four hundred fifty-seven million, six hundred seventy thousand, two hundred twenty-four".