470524032 has 128 divisors (see below), whose sum is σ = 1515067200. Its totient is φ = 142571520.

The previous prime is 470524027. The next prime is 470524057. The reversal of 470524032 is 230425074.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 470523987 and 470524005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31828 + ... + 44204.

Almost surely, 2^470524032 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 470524032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757533600).

470524032 is an abundant number, since it is smaller than the sum of its proper divisors (1044543168).

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

470524032 is a wasteful number, since it uses less digits than its factorization.

470524032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12411 (or 12393 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 470524032 is about 21691.5659185777. The cubic root of 470524032 is about 777.7868625757.

The spelling of 470524032 in words is "four hundred seventy million, five hundred twenty-four thousand, thirty-two".