564040 has 32 divisors (see below), whose sum is σ = 1296000. Its totient is φ = 220864.

The previous prime is 564017. The next prime is 564041. The reversal of 564040 is 40465.

It is a super-2 number, since 2×564040² = 636282243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 563999 and 564017.

It is not an unprimeable number, because it can be changed into a prime (564041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2241 + ... + 2479.

It is an arithmetic number, because the mean of its divisors is an integer number (40500).

2⁵⁶⁴⁰⁴⁰ 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 564040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648000).

564040 is an abundant number, since it is smaller than the sum of its proper divisors (731960).

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

564040 is a wasteful number, since it uses less digits than its factorization.

564040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 564040 is about 751.0259649306. The cubic root of 564040 is about 82.6234454372.

It can be divided in two parts, 56 and 4040, that added together give a 12-th power (4096 = 2¹²).

The spelling of 564040 in words is "five hundred sixty-four thousand, forty".