426336624 has 120 divisors (see below), whose sum is σ = 1392768000. Its totient is φ = 119205504.

The previous prime is 426336619. The next prime is 426336637. The reversal of 426336624 is 426633624.

426336624 is a `hidden beast` number, since 4 + 26 + 3 + 3 + 6 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42877 + ... + 51875.

It is an arithmetic number, because the mean of its divisors is an integer number (11606400).

Almost surely, 2^426336624 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 426336624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696384000).

426336624 is an abundant number, since it is smaller than the sum of its proper divisors (966431376).

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

426336624 is a wasteful number, since it uses less digits than its factorization.

426336624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9067 (or 9058 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 426336624 is about 20647.9205732684. The cubic root of 426336624 is about 752.6346592566.

The spelling of 426336624 in words is "four hundred twenty-six million, three hundred thirty-six thousand, six hundred twenty-four".