470064 has 40 divisors (see below), whose sum is σ = 1388800. Its totient is φ = 134208.

The previous prime is 470059. The next prime is 470077. The reversal of 470064 is 460074.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 470064.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 470064.

It is an unprimeable number.

470064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364 + ... + 1035.

It is an arithmetic number, because the mean of its divisors is an integer number (34720).

2⁴⁷⁰⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

470064 is an abundant number, since it is smaller than the sum of its proper divisors (918736).

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

470064 is a wasteful number, since it uses less digits than its factorization.

470064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 470064 is about 685.6121352485. The cubic root of 470064 is about 77.7533298822.

The spelling of 470064 in words is "four hundred seventy thousand, sixty-four".