468730080 has 576 divisors, whose sum is σ = 2036361600. Its totient is φ = 97542144.

The previous prime is 468730063. The next prime is 468730099. The reversal of 468730080 is 80037864.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6420924 + ... + 6420996.

It is an arithmetic number, because the mean of its divisors is an integer number (3535350).

Almost surely, 2^468730080 is an apocalyptic number.

468730080 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 468730080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018180800).

468730080 is an abundant number, since it is smaller than the sum of its proper divisors (1567631520).

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

468730080 is a wasteful number, since it uses less digits than its factorization.

468730080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 468730080 is about 21650.1750570290. The cubic root of 468730080 is about 776.7971225865.

The spelling of 468730080 in words is "four hundred sixty-eight million, seven hundred thirty thousand, eighty".