426331584 has 168 divisors, whose sum is σ = 1429633920. Its totient is φ = 118927872.

The previous prime is 426331583. The next prime is 426331601. The reversal of 426331584 is 485133624.

426331584 is a `hidden beast` number, since 4 + 2 + 633 + 15 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426331583) by changing a digit.

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, 172147 + ... + 174605.

Almost surely, 2^426331584 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 426331584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714816960).

426331584 is an abundant number, since it is smaller than the sum of its proper divisors (1003302336).

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

426331584 is a wasteful number, since it uses less digits than its factorization.

426331584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2514 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 426331584 is about 20647.7985267195. The cubic root of 426331584 is about 752.6316934518.

The spelling of 426331584 in words is "four hundred twenty-six million, three hundred thirty-one thousand, five hundred eighty-four".