472716924480 has 448 divisors, whose sum is σ = 1742410414080. Its totient is φ = 120420292608.

The previous prime is 472716924469. The next prime is 472716924523. The reversal of 472716924480 is 84429617274.

472716924480 is a `hidden beast` number, since 4 + 7 + 2 + 71 + 6 + 92 + 4 + 480 = 666.

It is a super-2 number, since 2×472716924480² (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 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, 283572607 + ... + 283574273.

It is an arithmetic number, because the mean of its divisors is an integer number (3889308960).

Almost surely, 2^472716924480 is an apocalyptic number.

472716924480 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 472716924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871205207040).

472716924480 is an abundant number, since it is smaller than the sum of its proper divisors (1269693489600).

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

472716924480 is a wasteful number, since it uses less digits than its factorization.

472716924480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 472716924480 in words is "four hundred seventy-two billion, seven hundred sixteen million, nine hundred twenty-four thousand, four hundred eighty".