472811389920 has 384 divisors, whose sum is σ = 1749906063360. Its totient is φ = 119038464000.

The previous prime is 472811389901. The next prime is 472811389931. The reversal of 472811389920 is 29983118274.

472811389920 is a `hidden beast` number, since 472 + 8 + 1 + 1 + 3 + 89 + 92 + 0 = 666.

It is a super-2 number, since 2×472811389920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5447665 + ... + 5533775.

It is an arithmetic number, because the mean of its divisors is an integer number (4557047040).

Almost surely, 2^472811389920 is an apocalyptic number.

472811389920 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 472811389920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874953031680).

472811389920 is an abundant number, since it is smaller than the sum of its proper divisors (1277094673440).

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

472811389920 is a wasteful number, since it uses less digits than its factorization.

472811389920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86207 (or 86193 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 472811389920 in words is "four hundred seventy-two billion, eight hundred eleven million, three hundred eighty-nine thousand, nine hundred twenty".