426592000 has 72 divisors (see below), whose sum is σ = 1062773712. Its totient is φ = 170624000.

The previous prime is 426591959. The next prime is 426592039. The reversal of 426592000 is 295624.

It is a self number, because there is not a number n which added to its sum of digits gives 426592000.

It is a congruent number.

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, 25335 + ... + 38665.

It is an arithmetic number, because the mean of its divisors is an integer number (14760746).

Almost surely, 2^426592000 is an apocalyptic number.

426592000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531386856).

426592000 is an abundant number, since it is smaller than the sum of its proper divisors (636181712).

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

426592000 is an equidigital number, since it uses as much as digits as its factorization.

426592000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13362 (or 13338 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 426592000 is about 20654.1037084643. The cubic root of 426592000 is about 752.7849055282.

The spelling of 426592000 in words is "four hundred twenty-six million, five hundred ninety-two thousand".