426874896 has 240 divisors, whose sum is σ = 1497225600. Its totient is φ = 110702592.

The previous prime is 426874859. The next prime is 426874907. The reversal of 426874896 is 698478624.

It is a super-3 number, since 3×426874896³ (a number of 27 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 496515 + ... + 497373.

It is an arithmetic number, because the mean of its divisors is an integer number (6238440).

Almost surely, 2^426874896 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 426874896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748612800).

426874896 is an abundant number, since it is smaller than the sum of its proper divisors (1070350704).

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

426874896 is a wasteful number, since it uses less digits than its factorization.

426874896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 917 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 426874896 is about 20660.9509945694. The cubic root of 426874896 is about 752.9512727526.

The spelling of 426874896 in words is "four hundred twenty-six million, eight hundred seventy-four thousand, eight hundred ninety-six".