472585364160 has 896 divisors, whose sum is σ = 1923558174720. Its totient is φ = 95609880576.

The previous prime is 472585364159. The next prime is 472585364171. The reversal of 472585364160 is 61463585274.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 423083922 + ... + 423085038.

It is an arithmetic number, because the mean of its divisors is an integer number (2146828320).

Almost surely, 2^472585364160 is an apocalyptic number.

472585364160 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 472585364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961779087360).

472585364160 is an abundant number, since it is smaller than the sum of its proper divisors (1450972810560).

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

472585364160 is a wasteful number, since it uses less digits than its factorization.

472585364160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 472585364160 in words is "four hundred seventy-two billion, five hundred eighty-five million, three hundred sixty-four thousand, one hundred sixty".