470975004612 has 432 divisors, whose sum is σ = 1508002816320. Its totient is φ = 123081928704.

The previous prime is 470975004593. The next prime is 470975004631. The reversal of 470975004612 is 216400579074.

470975004612 is a `hidden beast` number, since 4 + 7 + 0 + 97 + 500 + 46 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (470975004593) and next prime (470975004631).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 292712064 + ... + 292713672.

It is an arithmetic number, because the mean of its divisors is an integer number (3490747260).

Almost surely, 2^470975004612 is an apocalyptic number.

470975004612 is a gapful number since it is divisible by the number (42) 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 470975004612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754001408160).

470975004612 is an abundant number, since it is smaller than the sum of its proper divisors (1037027811708).

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

470975004612 is a wasteful number, since it uses less digits than its factorization.

470975004612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 470975004612 in words is "four hundred seventy billion, nine hundred seventy-five million, four thousand, six hundred twelve".