426610800 has 840 divisors, whose sum is σ = 2016716160. Its totient is φ = 83980800.

The previous prime is 426610799. The next prime is 426610817. The reversal of 426610800 is 8016624.

426610800 is a `hidden beast` number, since 42 + 6 + 610 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

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 167 ways as a sum of consecutive naturals, for example, 22453191 + ... + 22453209.

Almost surely, 2^426610800 is an apocalyptic number.

426610800 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 426610800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008358080).

426610800 is an abundant number, since it is smaller than the sum of its proper divisors (1590105360).

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

426610800 is a wasteful number, since it uses less digits than its factorization.

426610800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 426610800 is about 20654.5588188177. The cubic root of 426610800 is about 752.7959638293.

The spelling of 426610800 in words is "four hundred twenty-six million, six hundred ten thousand, eight hundred".