470560 has 48 divisors (see below), whose sum is σ = 1183896. Its totient is φ = 176128.

The previous prime is 470551. The next prime is 470579. The reversal of 470560 is 65074.

It can be written as a sum of positive squares in 4 ways, for example, as 467856 + 2704 = 684^2 + 52^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2634 + ... + 2806.

2⁴⁷⁰⁵⁶⁰ is an apocalyptic number.

470560 is a gapful number since it is divisible by the number (40) 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 470560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591948).

470560 is an abundant number, since it is smaller than the sum of its proper divisors (713336).

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

470560 is a wasteful number, since it uses less digits than its factorization.

470560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 470560 is about 685.9737604311. The cubic root of 470560 is about 77.7806680710.

The spelling of 470560 in words is "four hundred seventy thousand, five hundred sixty".