457433136 has 160 divisors (see below), whose sum is σ = 1355270400. Its totient is φ = 147663360.

The previous prime is 457433107. The next prime is 457433143. The reversal of 457433136 is 631334754.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 457433136.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3338860 + ... + 3338996.

It is an arithmetic number, because the mean of its divisors is an integer number (8470440).

Almost surely, 2^457433136 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 457433136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677635200).

457433136 is an abundant number, since it is smaller than the sum of its proper divisors (897837264).

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

457433136 is a wasteful number, since it uses less digits than its factorization.

457433136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 332 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 457433136 is about 21387.6865509105. The cubic root of 457433136 is about 770.5057317448.

The spelling of 457433136 in words is "four hundred fifty-seven million, four hundred thirty-three thousand, one hundred thirty-six".