426424580928 has 336 divisors, whose sum is σ = 1273604117760. Its totient is φ = 136317468672.

The previous prime is 426424580927. The next prime is 426424580929. The reversal of 426424580928 is 829085424624.

426424580928 is a `hidden beast` number, since 42 + 64 + 2 + 458 + 0 + 92 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (426424580927) and next prime (426424580929).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426424580927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422620488 + ... + 422621496.

Almost surely, 2^426424580928 is an apocalyptic number.

426424580928 is a gapful number since it is divisible by the number (48) 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 426424580928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636802058880).

426424580928 is an abundant number, since it is smaller than the sum of its proper divisors (847179536832).

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

426424580928 is a wasteful number, since it uses less digits than its factorization.

426424580928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 426424580928 in words is "four hundred twenty-six billion, four hundred twenty-four million, five hundred eighty thousand, nine hundred twenty-eight".