472475856384 has 720 divisors, whose sum is σ = 1731976646400. Its totient is φ = 127856848896.

The previous prime is 472475856379. The next prime is 472475856389. The reversal of 472475856384 is 483658574274.

472475856384 is a `hidden beast` number, since 4 + 7 + 2 + 47 + 585 + 6 + 3 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (472475856379) and next prime (472475856389).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472475856389) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 115829257 + ... + 115833335.

It is an arithmetic number, because the mean of its divisors is an integer number (2405523120).

Almost surely, 2^472475856384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472475856384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865988323200).

472475856384 is an abundant number, since it is smaller than the sum of its proper divisors (1259500790016).

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

472475856384 is an equidigital number, since it uses as much as digits as its factorization.

472475856384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4145 (or 4110 counting only the distinct ones).

The product of its digits is 180633600, while the sum is 63.

The spelling of 472475856384 in words is "four hundred seventy-two billion, four hundred seventy-five million, eight hundred fifty-six thousand, three hundred eighty-four".