457632 has 72 divisors (see below), whose sum is σ = 1493856. Its totient is φ = 130176.

The previous prime is 457621. The next prime is 457643. The reversal of 457632 is 236754.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (457621) and next prime (457643).

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 457596 and 457605.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 1903 + ... + 2129.

It is an arithmetic number, because the mean of its divisors is an integer number (20748).

2⁴⁵⁷⁶³² is an apocalyptic number.

457632 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 457632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746928).

457632 is an abundant number, since it is smaller than the sum of its proper divisors (1036224).

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

457632 is a wasteful number, since it uses less digits than its factorization.

457632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 239 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 457632 is about 676.4850330939. The cubic root of 457632 is about 77.0617371852.

It can be divided in two parts, 457 and 632, that added together give a square (1089 = 33²).

The spelling of 457632 in words is "four hundred fifty-seven thousand, six hundred thirty-two".