457535232 has 216 divisors, whose sum is σ = 1645338240. Its totient is φ = 118794240.

The previous prime is 457535227. The next prime is 457535237. The reversal of 457535232 is 232535754.

457535232 is a `hidden beast` number, since 4 + 575 + 3 + 52 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (457535227) and next prime (457535237).

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 (457535237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176119 + ... + 178697.

Almost surely, 2^457535232 is an apocalyptic number.

457535232 is a gapful number since it is divisible by the number (42) 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 457535232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822669120).

457535232 is an abundant number, since it is smaller than the sum of its proper divisors (1187803008).

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

457535232 is a wasteful number, since it uses less digits than its factorization.

457535232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2602 counting only the distinct ones).

The product of its digits is 126000, while the sum is 36.

The square root of 457535232 is about 21390.0732116559. The cubic root of 457535232 is about 770.5630513799.

The spelling of 457535232 in words is "four hundred fifty-seven million, five hundred thirty-five thousand, two hundred thirty-two".