457591136 has 48 divisors (see below), whose sum is σ = 973974960. Its totient is φ = 210885120.

The previous prime is 457591111. The next prime is 457591151. The reversal of 457591136 is 631195754.

It is a junction number, because it is equal to n+sod(n) for n = 457591093 and 457591102.

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, 12326 + ... + 32666.

It is an arithmetic number, because the mean of its divisors is an integer number (20291145).

Almost surely, 2^457591136 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 457591136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486987480).

457591136 is an abundant number, since it is smaller than the sum of its proper divisors (516383824).

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

457591136 is a wasteful number, since it uses less digits than its factorization.

457591136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20407 (or 20399 counting only the distinct ones).

The product of its digits is 113400, while the sum is 41.

The square root of 457591136 is about 21391.3799461372. The cubic root of 457591136 is about 770.5944338830.

The spelling of 457591136 in words is "four hundred fifty-seven million, five hundred ninety-one thousand, one hundred thirty-six".