457952 has 24 divisors (see below), whose sum is σ = 984312. Its totient is φ = 208000.

The previous prime is 457943. The next prime is 457979. The reversal of 457952 is 259754.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

457952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 299 + ... + 1002.

It is an arithmetic number, because the mean of its divisors is an integer number (41013).

2⁴⁵⁷⁹⁵² is an apocalyptic number.

It is an amenable number.

457952 is an abundant number, since it is smaller than the sum of its proper divisors (526360).

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

457952 is a wasteful number, since it uses less digits than its factorization.

457952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1314 counting only the distinct ones).

The product of its digits is 12600, while the sum is 32.

The square root of 457952 is about 676.7215084509. The cubic root of 457952 is about 77.0796948530.

It can be divided in two parts, 45 and 7952, that added together give a palindrome (7997).

The spelling of 457952 in words is "four hundred fifty-seven thousand, nine hundred fifty-two".