470293132800 has 240 divisors, whose sum is σ = 1589719412160. Its totient is φ = 122494525440.

The previous prime is 470293132747. The next prime is 470293132817. The reversal of 470293132800 is 8231392074.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1508791 + ... + 1793609.

It is an arithmetic number, because the mean of its divisors is an integer number (6623830884).

Almost surely, 2^470293132800 is an apocalyptic number.

470293132800 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 470293132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794859706080).

470293132800 is an abundant number, since it is smaller than the sum of its proper divisors (1119426279360).

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

470293132800 is a wasteful number, since it uses less digits than its factorization.

470293132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284893 (or 284872 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 470293132800 in words is "four hundred seventy billion, two hundred ninety-three million, one hundred thirty-two thousand, eight hundred".