465872 has 20 divisors (see below), whose sum is σ = 985056. Its totient is φ = 211680.

The previous prime is 465841. The next prime is 465887. The reversal of 465872 is 278564.

465872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×465872³ = 303333992996204544, which contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

465872 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, 1148 + ... + 1499.

2⁴⁶⁵⁸⁷² is an apocalyptic number.

It is an amenable number.

465872 is an abundant number, since it is smaller than the sum of its proper divisors (519184).

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

465872 is a wasteful number, since it uses less digits than its factorization.

465872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666 (or 2660 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 465872 is about 682.5481667985. The cubic root of 465872 is about 77.5215063450.

The spelling of 465872 in words is "four hundred sixty-five thousand, eight hundred seventy-two".