564460 has 36 divisors (see below), whose sum is σ = 1291248. Its totient is φ = 207168.

The previous prime is 564457. The next prime is 564463. The reversal of 564460 is 64465.

It is a happy number.

564460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (564457) and next prime (564463).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (564463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3297 + ... + 3463.

It is an arithmetic number, because the mean of its divisors is an integer number (35868).

2⁵⁶⁴⁴⁶⁰ 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 564460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645624).

564460 is an abundant number, since it is smaller than the sum of its proper divisors (726788).

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

564460 is a wasteful number, since it uses less digits than its factorization.

564460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 564460 is about 751.3055303936. The cubic root of 564460 is about 82.6439482605.

It can be divided in two parts, 564 and 460, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 564460 in words is "five hundred sixty-four thousand, four hundred sixty".