468812880 has 160 divisors (see below), whose sum is σ = 1628467200. Its totient is φ = 123959808.

The previous prime is 468812867. The next prime is 468812891. The reversal of 468812880 is 88218864.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273466 + ... + 275174.

It is an arithmetic number, because the mean of its divisors is an integer number (10177920).

Almost surely, 2^468812880 is an apocalyptic number.

468812880 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 468812880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814233600).

468812880 is an abundant number, since it is smaller than the sum of its proper divisors (1159654320).

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

468812880 is a wasteful number, since it uses less digits than its factorization.

468812880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 468812880 is about 21652.0871973119. The cubic root of 468812880 is about 776.8428596519.

The spelling of 468812880 in words is "four hundred sixty-eight million, eight hundred twelve thousand, eight hundred eighty".