468720 has 160 divisors (see below), whose sum is σ = 1904640. Its totient is φ = 103680.

The previous prime is 468719. The next prime is 468737. The reversal of 468720 is 27864.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15105 + ... + 15135.

It is an arithmetic number, because the mean of its divisors is an integer number (11904).

2⁴⁶⁸⁷²⁰ is an apocalyptic number.

468720 is a gapful number since it is divisible by the number (40) 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 468720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952320).

468720 is an abundant number, since it is smaller than the sum of its proper divisors (1435920).

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

468720 is a wasteful number, since it uses less digits than its factorization.

468720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 468720 is about 684.6312876286. The cubic root of 468720 is about 77.6791554228.

The spelling of 468720 in words is "four hundred sixty-eight thousand, seven hundred twenty".