426592800 has 216 divisors, whose sum is σ = 1517246640. Its totient is φ = 112780800.

The previous prime is 426592787. The next prime is 426592847. The reversal of 426592800 is 8295624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1288635 + ... + 1288965.

It is an arithmetic number, because the mean of its divisors is an integer number (7024290).

Almost surely, 2^426592800 is an apocalyptic number.

426592800 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 426592800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758623320).

426592800 is an abundant number, since it is smaller than the sum of its proper divisors (1090653840).

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

426592800 is a wasteful number, since it uses less digits than its factorization.

426592800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 426592800 is about 20654.1230750666. The cubic root of 426592800 is about 752.7853761008.

The spelling of 426592800 in words is "four hundred twenty-six million, five hundred ninety-two thousand, eight hundred".