426564 has 54 divisors (see below), whose sum is σ = 1173354. Its totient is φ = 130560.

The previous prime is 426563. The next prime is 426583. The reversal of 426564 is 465624.

It is a happy number.

426564 is a `hidden beast` number, since 4 + 2 + 656 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 66564 + 360000 = 258^2 + 600^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426563) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10384 + ... + 10424.

2⁴²⁶⁵⁶⁴ 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 426564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586677).

426564 is an abundant number, since it is smaller than the sum of its proper divisors (746790).

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

426564 is a wasteful number, since it uses less digits than its factorization.

426564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 63 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 426564 is about 653.1186722182. The cubic root of 426564 is about 75.2768435116.

Subtracting 426564 from its reverse (465624), we obtain a triangular number (39060 = T₂₇₉).

It can be divided in two parts, 426 and 564, that added together give a triangular number (990 = T₄₄).

The spelling of 426564 in words is "four hundred twenty-six thousand, five hundred sixty-four".