426456864 has 72 divisors (see below), whose sum is σ = 1216247760. Its totient is φ = 141740928.

The previous prime is 426456859. The next prime is 426456887. The reversal of 426456864 is 468654624.

426456864 is a `hidden beast` number, since 4 + 26 + 4 + 568 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107199 + ... + 111105.

It is an arithmetic number, because the mean of its divisors is an integer number (16892330).

Almost surely, 2^426456864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426456864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608123880).

426456864 is an abundant number, since it is smaller than the sum of its proper divisors (789790896).

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

426456864 is a wasteful number, since it uses less digits than its factorization.

426456864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4302 (or 4291 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 426456864 is about 20650.8320413488. The cubic root of 426456864 is about 752.7054079562.

The spelling of 426456864 in words is "four hundred twenty-six million, four hundred fifty-six thousand, eight hundred sixty-four".