426888624 has 40 divisors (see below), whose sum is σ = 1119263680. Its totient is φ = 140171328.

The previous prime is 426888619. The next prime is 426888641.

426888624 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×426888624³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63154 + ... + 69585.

It is an arithmetic number, because the mean of its divisors is an integer number (27981592).

Almost surely, 2^426888624 is an apocalyptic number.

It is an amenable number.

426888624 is an abundant number, since it is smaller than the sum of its proper divisors (692375056).

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

426888624 is a wasteful number, since it uses less digits than its factorization.

426888624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132817 (or 132811 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 426888624 is about 20661.2832128113. The cubic root of 426888624 is about 752.9593441293.

The spelling of 426888624 in words is "four hundred twenty-six million, eight hundred eighty-eight thousand, six hundred twenty-four".