457417152 has 112 divisors (see below), whose sum is σ = 1388262400. Its totient is φ = 147536640.

The previous prime is 457417151. The next prime is 457417157. The reversal of 457417152 is 251714754.

It is a super-2 number, since 2×457417152² = 418460901887582208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457417151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49299 + ... + 57837.

It is an arithmetic number, because the mean of its divisors is an integer number (12395200).

Almost surely, 2^457417152 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 457417152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694131200).

457417152 is an abundant number, since it is smaller than the sum of its proper divisors (930845248).

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

457417152 is a wasteful number, since it uses less digits than its factorization.

457417152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8591 (or 8575 counting only the distinct ones).

The product of its digits is 39200, while the sum is 36.

The square root of 457417152 is about 21387.3128746928. The cubic root of 457417152 is about 770.4967570946.

The spelling of 457417152 in words is "four hundred fifty-seven million, four hundred seventeen thousand, one hundred fifty-two".