457532 has 12 divisors (see below), whose sum is σ = 808920. Its totient is φ = 226416.

The previous prime is 457517. The next prime is 457547. The reversal of 457532 is 235754.

It is an interprime number because it is at equal distance from previous prime (457517) and next prime (457547).

It is a super-3 number, since 3×457532³ = 287333112541418304, which contains 333 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

457532 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 (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 107 + ... + 962.

It is an arithmetic number, because the mean of its divisors is an integer number (67410).

2⁴⁵⁷⁵³² is an apocalyptic number.

It is an amenable number.

457532 is a deficient number, since it is larger than the sum of its proper divisors (351388).

457532 is a wasteful number, since it uses less digits than its factorization.

457532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1178 counting only the distinct ones).

The product of its digits is 4200, while the sum is 26.

The square root of 457532 is about 676.4111175905. The cubic root of 457532 is about 77.0561236973.

It can be divided in two parts, 457 and 532, that added together give a palindrome (989).

The spelling of 457532 in words is "four hundred fifty-seven thousand, five hundred thirty-two".