465752 has 16 divisors (see below), whose sum is σ = 998160. Its totient is φ = 199584.

The previous prime is 465743. The next prime is 465761. The reversal of 465752 is 257564.

It is an interprime number because it is at equal distance from previous prime (465743) and next prime (465761).

It is a congruent number.

It is an unprimeable number.

465752 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4103 + ... + 4214.

It is an arithmetic number, because the mean of its divisors is an integer number (62385).

2⁴⁶⁵⁷⁵² is an apocalyptic number.

It is an amenable number.

465752 is an abundant number, since it is smaller than the sum of its proper divisors (532408).

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

465752 is a wasteful number, since it uses less digits than its factorization.

465752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8330 (or 8326 counting only the distinct ones).

The product of its digits is 8400, while the sum is 29.

The square root of 465752 is about 682.4602552530. The cubic root of 465752 is about 77.5148497386.

It can be divided in two parts, 4 and 65752, that added together give a palindrome (65756).

The spelling of 465752 in words is "four hundred sixty-five thousand, seven hundred fifty-two".