470507664 has 80 divisors (see below), whose sum is σ = 1329539904. Its totient is φ = 142195200.

The previous prime is 470507641. The next prime is 470507669. The reversal of 470507664 is 466705074.

It is not an unprimeable number, because it can be changed into a prime (470507669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242442 + ... + 244374.

Almost surely, 2^470507664 is an apocalyptic number.

470507664 is a gapful number since it is divisible by the number (44) 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 470507664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664769952).

470507664 is an abundant number, since it is smaller than the sum of its proper divisors (859032240).

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

470507664 is a wasteful number, since it uses less digits than its factorization.

470507664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 470507664 is about 21691.1886257992. The cubic root of 470507664 is about 777.7778435797. Note that the first 3 decimals are identical.

The spelling of 470507664 in words is "four hundred seventy million, five hundred seven thousand, six hundred sixty-four".