457262952 has 64 divisors (see below), whose sum is σ = 1186920000. Its totient is φ = 146625024.

The previous prime is 457262951. The next prime is 457262963. The reversal of 457262952 is 259262754.

It is not an unprimeable number, because it can be changed into a prime (457262951) 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 15 ways as a sum of consecutive naturals, for example, 216799 + ... + 218897.

It is an arithmetic number, because the mean of its divisors is an integer number (18545625).

Almost surely, 2^457262952 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 457262952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593460000).

457262952 is an abundant number, since it is smaller than the sum of its proper divisors (729657048).

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

457262952 is a wasteful number, since it uses less digits than its factorization.

457262952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2446 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 457262952 is about 21383.7076298756. The cubic root of 457262952 is about 770.4101665848.

The spelling of 457262952 in words is "four hundred fifty-seven million, two hundred sixty-two thousand, nine hundred fifty-two".