426858624 has 48 divisors (see below), whose sum is σ = 1228333470. Its totient is φ = 142285824.

The previous prime is 426858611. The next prime is 426858629.

426858624 is a `hidden beast` number, since 4 + 2 + 68 + 586 + 2 + 4 = 666.

426858624 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 362217024 + 64641600 = 19032^2 + 8040^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×426858624³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 426858624.

It is not an unprimeable number, because it can be changed into a prime (426858629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 184117 + ... + 186420.

Almost surely, 2^426858624 is an apocalyptic number.

It is an amenable number.

426858624 is an abundant number, since it is smaller than the sum of its proper divisors (801474846).

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

426858624 is a wasteful number, since it uses less digits than its factorization.

426858624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370557 (or 370542 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 426858624 is about 20660.5572044899. The cubic root of 426858624 is about 752.9417054071.

The spelling of 426858624 in words is "four hundred twenty-six million, eight hundred fifty-eight thousand, six hundred twenty-four".