472529424000 has 512 divisors, whose sum is σ = 1615248760320. Its totient is φ = 122142720000.

The previous prime is 472529423983. The next prime is 472529424043. The reversal of 472529424000 is 424925274.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 472529424000.

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, 207886864 + ... + 207889136.

It is an arithmetic number, because the mean of its divisors is an integer number (3154782735).

Almost surely, 2^472529424000 is an apocalyptic number.

472529424000 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 472529424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807624380160).

472529424000 is an abundant number, since it is smaller than the sum of its proper divisors (1142719336320).

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

472529424000 is a wasteful number, since it uses less digits than its factorization.

472529424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 472529424000 in words is "four hundred seventy-two billion, five hundred twenty-nine million, four hundred twenty-four thousand".