470815027200 has 2184 divisors, whose sum is σ = 2158117237728. Its totient is φ = 99373547520.

The previous prime is 470815027157. The next prime is 470815027211. The reversal of 470815027200 is 2720518074.

470815027200 is a `hidden beast` number, since 4 + 7 + 0 + 81 + 502 + 72 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 8883302374 + ... + 8883302426.

Almost surely, 2^470815027200 is an apocalyptic number.

470815027200 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 470815027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079058618864).

470815027200 is an abundant number, since it is smaller than the sum of its proper divisors (1687302210528).

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

470815027200 is an equidigital number, since it uses as much as digits as its factorization.

470815027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 470815027200 in words is "four hundred seventy billion, eight hundred fifteen million, twenty-seven thousand, two hundred".