470411457331200 has 2016 divisors, whose sum is σ = 1957415379397632. Its totient is φ = 96838090752000.

The previous prime is 470411457331163. The next prime is 470411457331223. The reversal of 470411457331200 is 2133754114074.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 793273958104 + ... + 793273958696.

It is an arithmetic number, because the mean of its divisors is an integer number (970940168352).

Almost surely, 2^{470411457331200} is an apocalyptic number.

470411457331200 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 470411457331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978707689698816).

470411457331200 is an abundant number, since it is smaller than the sum of its proper divisors (1487003922066432).

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

470411457331200 is an equidigital number, since it uses as much as digits as its factorization.

470411457331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 470411457331200 in words is "four hundred seventy trillion, four hundred eleven billion, four hundred fifty-seven million, three hundred thirty-one thousand, two hundred".