470732615200 has 144 divisors (see below), whose sum is σ = 1210981242240. Its totient is φ = 178187904000.

The previous prime is 470732615191. The next prime is 470732615231. The reversal of 470732615200 is 2516237074.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 470732615200.

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, 14286745 + ... + 14319655.

It is an arithmetic number, because the mean of its divisors is an integer number (8409591960).

Almost surely, 2^470732615200 is an apocalyptic number.

470732615200 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 470732615200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605490621120).

470732615200 is an abundant number, since it is smaller than the sum of its proper divisors (740248627040).

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

470732615200 is a wasteful number, since it uses less digits than its factorization.

470732615200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33891 (or 33878 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The spelling of 470732615200 in words is "four hundred seventy billion, seven hundred thirty-two million, six hundred fifteen thousand, two hundred".