426585624 has 64 divisors (see below), whose sum is σ = 1140272640. Its totient is φ = 132518400.

The previous prime is 426585613. The next prime is 426585661.

It is a happy number.

426585624 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36949 + ... + 47099.

It is an arithmetic number, because the mean of its divisors is an integer number (17816760).

Almost surely, 2^426585624 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 426585624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570136320).

426585624 is an abundant number, since it is smaller than the sum of its proper divisors (713687016).

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

426585624 is a wasteful number, since it uses less digits than its factorization.

426585624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10280 (or 10276 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The square root of 426585624 is about 20653.9493559948. The cubic root of 426585624 is about 752.7811550434.

The spelling of 426585624 in words is "four hundred twenty-six million, five hundred eighty-five thousand, six hundred twenty-four".