470678172800 has 192 divisors, whose sum is σ = 1273984977600. Its totient is φ = 170405376000.

The previous prime is 470678172799. The next prime is 470678172841. The reversal of 470678172800 is 8271876074.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8031605 + ... + 8089995.

It is an arithmetic number, because the mean of its divisors is an integer number (6635338425).

Almost surely, 2^470678172800 is an apocalyptic number.

470678172800 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 470678172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636992488800).

470678172800 is an abundant number, since it is smaller than the sum of its proper divisors (803306804800).

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

470678172800 is a wasteful number, since it uses less digits than its factorization.

470678172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58655 (or 58638 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 50.

The spelling of 470678172800 in words is "four hundred seventy billion, six hundred seventy-eight million, one hundred seventy-two thousand, eight hundred".