426112560 has 120 divisors (see below), whose sum is σ = 1435518240. Its totient is φ = 113273856.

The previous prime is 426112529. The next prime is 426112579. The reversal of 426112560 is 65211624.

426112560 is a `hidden beast` number, since 42 + 61 + 1 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293757 + ... + 295203.

It is an arithmetic number, because the mean of its divisors is an integer number (11962652).

Almost surely, 2^426112560 is an apocalyptic number.

426112560 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 426112560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717759120).

426112560 is an abundant number, since it is smaller than the sum of its proper divisors (1009405680).

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

426112560 is a wasteful number, since it uses less digits than its factorization.

426112560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 426112560 is about 20642.4940353631. The cubic root of 426112560 is about 752.5027854630.

The spelling of 426112560 in words is "four hundred twenty-six million, one hundred twelve thousand, five hundred sixty".