468480 has 80 divisors (see below), whose sum is σ = 1522224. Its totient is φ = 122880.

The previous prime is 468473. The next prime is 468491. The reversal of 468480 is 84864.

468480 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7650 + ... + 7710.

2⁴⁶⁸⁴⁸⁰ is an apocalyptic number.

468480 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 468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761112).

468480 is an abundant number, since it is smaller than the sum of its proper divisors (1053744).

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

468480 is an equidigital number, since it uses as much as digits as its factorization.

468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 468480 is about 684.4559883586. The cubic root of 468480 is about 77.6658950683.

The spelling of 468480 in words is "four hundred sixty-eight thousand, four hundred eighty".