408564 has 60 divisors (see below), whose sum is σ = 1162084. Its totient is φ = 124416.

The previous prime is 408563. The next prime is 408607. The reversal of 408564 is 465804.

It can be written as a sum of positive squares in 2 ways, for example, as 116964 + 291600 = 342^2 + 540^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 408564.

It is not an unprimeable number, because it can be changed into a prime (408563) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4164 + ... + 4260.

2⁴⁰⁸⁵⁶⁴ 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 408564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581042).

408564 is an abundant number, since it is smaller than the sum of its proper divisors (753520).

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

408564 is a wasteful number, since it uses less digits than its factorization.

408564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 115 counting only the distinct ones).

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

The square root of 408564 is about 639.1901125643. The cubic root of 408564 is about 74.2027553751.

The spelling of 408564 in words is "four hundred eight thousand, five hundred sixty-four".