465720 has 32 divisors (see below), whose sum is σ = 1397520. Its totient is φ = 124160.

The previous prime is 465701. The next prime is 465721. The reversal of 465720 is 27564.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465721) by changing a digit.

465720 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 7 ways as a sum of consecutive naturals, for example, 1821 + ... + 2060.

2⁴⁶⁵⁷²⁰ is an apocalyptic number.

465720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465720 is an abundant number, since it is smaller than the sum of its proper divisors (931800).

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

465720 is a wasteful number, since it uses less digits than its factorization.

465720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3895 (or 3891 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 465720 is about 682.4368102616. The cubic root of 465720 is about 77.5130744504.

The spelling of 465720 in words is "four hundred sixty-five thousand, seven hundred twenty".