470945664 has 336 divisors, whose sum is σ = 1652222520. Its totient is φ = 133249536.

The previous prime is 470945659. The next prime is 470945689. The reversal of 470945664 is 466549074.

It is a tau number, because it is divible by the number of its divisors (336).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4572237 + ... + 4572339.

Almost surely, 2^470945664 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 470945664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826111260).

470945664 is an abundant number, since it is smaller than the sum of its proper divisors (1181276856).

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

470945664 is an equidigital number, since it uses as much as digits as its factorization.

470945664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 470945664 is about 21701.2825427439. The cubic root of 470945664 is about 778.0191156257.

The spelling of 470945664 in words is "four hundred seventy million, nine hundred forty-five thousand, six hundred sixty-four".