564480 has 162 divisors, whose sum is σ = 2271906. Its totient is φ = 129024.

The previous prime is 564467. The next prime is 564491. The reversal of 564480 is 84465.

It can be written as a sum of positive squares in only one way, i.e., 451584 + 112896 = 672^2 + 336^2 .

It is a congruent number.

It is an unprimeable number.

564480 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 17 ways as a sum of consecutive naturals, for example, 80637 + ... + 80643.

2⁵⁶⁴⁴⁸⁰ 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 564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135953).

564480 is an abundant number, since it is smaller than the sum of its proper divisors (1707426).

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

564480 is a wasteful number, since it uses less digits than its factorization.

564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 564480 is about 751.3188404399. The cubic root of 564480 is about 82.6449243317.

Subtracting from 564480 its sum of digits (27), we obtain a triangular number (564453 = T₁₀₆₂).

The spelling of 564480 in words is "five hundred sixty-four thousand, four hundred eighty".