470324050560 has 1536 divisors, whose sum is σ = 2095801344000. Its totient is φ = 98143322112.

The previous prime is 470324050541. The next prime is 470324050607. The reversal of 470324050560 is 65050423074.

470324050560 is a `hidden beast` number, since 4 + 7 + 0 + 3 + 2 + 40 + 50 + 560 = 666.

470324050560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2363437341 + ... + 2363437539.

It is an arithmetic number, because the mean of its divisors is an integer number (1364454000).

Almost surely, 2^470324050560 is an apocalyptic number.

470324050560 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 470324050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047900672000).

470324050560 is an abundant number, since it is smaller than the sum of its proper divisors (1625477293440).

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

470324050560 is a wasteful number, since it uses less digits than its factorization.

470324050560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 470324050560 in words is "four hundred seventy billion, three hundred twenty-four million, fifty thousand, five hundred sixty".