426560000 has 200 divisors, whose sum is σ = 1124939904. Its totient is φ = 161280000.

The previous prime is 426559999. The next prime is 426560011. The reversal of 426560000 is 65624.

It is a tau number, because it is divible by the number of its divisors (200).

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 19 ways as a sum of consecutive naturals, for example, 9919979 + ... + 9920021.

Almost surely, 2^426560000 is an apocalyptic number.

426560000 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 426560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562469952).

426560000 is an abundant number, since it is smaller than the sum of its proper divisors (698379904).

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

426560000 is an frugal number, since it uses more digits than its factorization.

426560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 426560000 is about 20653.3290294809. The cubic root of 426560000 is about 752.7660821409.

The spelling of 426560000 in words is "four hundred twenty-six million, five hundred sixty thousand".