472926432384 has 256 divisors, whose sum is σ = 1596317625600. Its totient is φ = 135026196480.

The previous prime is 472926432379. The next prime is 472926432431. The reversal of 472926432384 is 483234629274.

472926432384 is a `hidden beast` number, since 47 + 2 + 92 + 6 + 432 + 3 + 84 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 472926432384.

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 31 ways as a sum of consecutive naturals, for example, 38628504 + ... + 38640744.

It is an arithmetic number, because the mean of its divisors is an integer number (6235615725).

Almost surely, 2^472926432384 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 472926432384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798158812800).

472926432384 is an abundant number, since it is smaller than the sum of its proper divisors (1123391193216).

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

472926432384 is a wasteful number, since it uses less digits than its factorization.

472926432384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13868 (or 13850 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 472926432384 in words is "four hundred seventy-two billion, nine hundred twenty-six million, four hundred thirty-two thousand, three hundred eighty-four".