426875904 has 264 divisors, whose sum is σ = 1520020320. Its totient is φ = 112361472.

The previous prime is 426875893. The next prime is 426875941. The reversal of 426875904 is 409578624.

It is a happy number.

It is a super-3 number, since 3×426875904³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 426875904.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 838402 + ... + 838910.

Almost surely, 2^426875904 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 426875904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760010160).

426875904 is an abundant number, since it is smaller than the sum of its proper divisors (1093144416).

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

426875904 is a wasteful number, since it uses less digits than its factorization.

426875904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 426875904 is about 20660.9753883983. The cubic root of 426875904 is about 752.9518654120.

The spelling of 426875904 in words is "four hundred twenty-six million, eight hundred seventy-five thousand, nine hundred four".