470087525952 has 336 divisors, whose sum is σ = 1523249582400. Its totient is φ = 137299169280.

The previous prime is 470087525893. The next prime is 470087526017. The reversal of 470087525952 is 259525780074.

470087525952 is a `hidden beast` number, since 47 + 0 + 0 + 8 + 7 + 5 + 2 + 595 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124392799 + ... + 124396577.

It is an arithmetic number, because the mean of its divisors is an integer number (4533480900).

Almost surely, 2^470087525952 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 470087525952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761624791200).

470087525952 is an abundant number, since it is smaller than the sum of its proper divisors (1053162056448).

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

470087525952 is a wasteful number, since it uses less digits than its factorization.

470087525952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4514 (or 4501 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 470087525952 in words is "four hundred seventy billion, eighty-seven million, five hundred twenty-five thousand, nine hundred fifty-two".