564417 has 36 divisors (see below), whose sum is σ = 1021696. Its totient is φ = 293760.

The previous prime is 564409. The next prime is 564419. The reversal of 564417 is 714465.

564417 is a `hidden beast` number, since 5 + 644 + 17 = 666.

It is not a de Polignac number, because 564417 - 2³ = 564409 is a prime.

It is a Duffinian number.

564417 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (564419) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18192 + ... + 18222.

2⁵⁶⁴⁴¹⁷ is an apocalyptic number.

It is an amenable number.

564417 is a deficient number, since it is larger than the sum of its proper divisors (457279).

564417 is a wasteful number, since it uses less digits than its factorization.

564417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 58 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 564417 is about 751.2769129955. The cubic root of 564417 is about 82.6418496294.

The spelling of 564417 in words is "five hundred sixty-four thousand, four hundred seventeen".