470638512 has 240 divisors, whose sum is σ = 1505736960. Its totient is φ = 141647616.

The previous prime is 470638501. The next prime is 470638513. The reversal of 470638512 is 215836074.

470638512 is a `hidden beast` number, since 4 + 7 + 0 + 638 + 5 + 12 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (470638513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1698918 + ... + 1699194.

It is an arithmetic number, because the mean of its divisors is an integer number (6273904).

Almost surely, 2^470638512 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 470638512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752868480).

470638512 is an abundant number, since it is smaller than the sum of its proper divisors (1035098448).

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

470638512 is a wasteful number, since it uses less digits than its factorization.

470638512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 470638512 is about 21694.2045717284. The cubic root of 470638512 is about 777.8499368033.

The spelling of 470638512 in words is "four hundred seventy million, six hundred thirty-eight thousand, five hundred twelve".