472472460160 has 128 divisors (see below), whose sum is σ = 1151442552960. Its totient is φ = 185322209280.

The previous prime is 472472460091. The next prime is 472472460209. The reversal of 472472460160 is 61064274274.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105862089 + ... + 105866551.

It is an arithmetic number, because the mean of its divisors is an integer number (8995644945).

Almost surely, 2^472472460160 is an apocalyptic number.

472472460160 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 472472460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575721276480).

472472460160 is an abundant number, since it is smaller than the sum of its proper divisors (678970092800).

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

472472460160 is a wasteful number, since it uses less digits than its factorization.

472472460160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7656 (or 7644 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 43.

The spelling of 472472460160 in words is "four hundred seventy-two billion, four hundred seventy-two million, four hundred sixty thousand, one hundred sixty".