472535795952 has 480 divisors, whose sum is σ = 1545361090560. Its totient is φ = 137998080000.

The previous prime is 472535795873. The next prime is 472535795971. The reversal of 472535795952 is 259597535274.

472535795952 is a `hidden beast` number, since 4 + 7 + 2 + 5 + 3 + 579 + 5 + 9 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 472535795952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 536362552 + ... + 536363432.

It is an arithmetic number, because the mean of its divisors is an integer number (3219502272).

Almost surely, 2^472535795952 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 472535795952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772680545280).

472535795952 is an abundant number, since it is smaller than the sum of its proper divisors (1072825294608).

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

472535795952 is a wasteful number, since it uses less digits than its factorization.

472535795952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1259 counting only the distinct ones).

The product of its digits is 119070000, while the sum is 63.

The spelling of 472535795952 in words is "four hundred seventy-two billion, five hundred thirty-five million, seven hundred ninety-five thousand, nine hundred fifty-two".