468880 has 20 divisors (see below), whose sum is σ = 1090332. Its totient is φ = 187520.

The previous prime is 468869. The next prime is 468883. The reversal of 468880 is 88864.

It can be written as a sum of positive squares in 2 ways, for example, as 190096 + 278784 = 436^2 + 528^2 .

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

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (468883) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2851 + ... + 3010.

2⁴⁶⁸⁸⁸⁰ is an apocalyptic number.

468880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468880 is an abundant number, since it is smaller than the sum of its proper divisors (621452).

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

468880 is a wasteful number, since it uses less digits than its factorization.

468880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5874 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 468880 is about 684.7481288766. The cubic root of 468880 is about 77.6879931447.

The spelling of 468880 in words is "four hundred sixty-eight thousand, eight hundred eighty".