468080 has 20 divisors (see below), whose sum is σ = 1088472. Its totient is φ = 187200.

The previous prime is 468079. The next prime is 468107. The reversal of 468080 is 80864.

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2846 + ... + 3005.

2⁴⁶⁸⁰⁸⁰ is an apocalyptic number.

468080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468080 is an abundant number, since it is smaller than the sum of its proper divisors (620392).

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

468080 is a wasteful number, since it uses less digits than its factorization.

468080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5864 (or 5858 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 468080 is about 684.1637230956. The cubic root of 468080 is about 77.6437844097.

The spelling of 468080 in words is "four hundred sixty-eight thousand, eighty".