426893904 has 60 divisors (see below), whose sum is σ = 1199764852. Its totient is φ = 141696000.

The previous prime is 426893893. The next prime is 426893911. The reversal of 426893904 is 409398624.

It can be written as a sum of positive squares in 2 ways, for example, as 237776400 + 189117504 = 15420^2 + 13752^2 .

It is a super-3 number, since 3×426893904³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 426893904.

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 11 ways as a sum of consecutive naturals, for example, 28554 + ... + 40854.

Almost surely, 2^426893904 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 426893904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599882426).

426893904 is an abundant number, since it is smaller than the sum of its proper divisors (772870948).

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

426893904 is a wasteful number, since it uses less digits than its factorization.

426893904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12556 (or 12547 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 426893904 is about 20661.4109876359. The cubic root of 426893904 is about 752.9624484588.

The spelling of 426893904 in words is "four hundred twenty-six million, eight hundred ninety-three thousand, nine hundred four".