470909664 has 72 divisors (see below), whose sum is σ = 1364460552. Its totient is φ = 154003200.

The previous prime is 470909629. The next prime is 470909671. The reversal of 470909664 is 466909074.

470909664 is a `hidden beast` number, since 470 + 90 + 96 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×470909664³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162 + ... + 30689.

It is an arithmetic number, because the mean of its divisors is an integer number (18950841).

Almost surely, 2^470909664 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 470909664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682230276).

470909664 is an abundant number, since it is smaller than the sum of its proper divisors (893550888).

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

470909664 is a wasteful number, since it uses less digits than its factorization.

470909664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30920 (or 30909 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 470909664 is about 21700.4530828276. The cubic root of 470909664 is about 777.9992906904. Note that the first 3 decimals are identical.

The spelling of 470909664 in words is "four hundred seventy million, nine hundred nine thousand, six hundred sixty-four".