457690164 has 48 divisors (see below), whose sum is σ = 1126601280. Its totient is φ = 144218880.

The previous prime is 457690157. The next prime is 457690187. The reversal of 457690164 is 461096754.

It is a hoax number, since the sum of its digits (42) 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 15 ways as a sum of consecutive naturals, for example, 116862 + ... + 120714.

It is an arithmetic number, because the mean of its divisors is an integer number (23470860).

Almost surely, 2^457690164 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 457690164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563300640).

457690164 is an abundant number, since it is smaller than the sum of its proper divisors (668911116).

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

457690164 is a wasteful number, since it uses less digits than its factorization.

457690164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400 (or 4398 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 457690164 is about 21393.6944916020. The cubic root of 457690164 is about 770.6500183815.

The spelling of 457690164 in words is "four hundred fifty-seven million, six hundred ninety thousand, one hundred sixty-four".