426074880 has 432 divisors, whose sum is σ = 1722454272. Its totient is φ = 87859200.

The previous prime is 426074851. The next prime is 426074899. The reversal of 426074880 is 88470624.

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, 3252415 + ... + 3252545.

Almost surely, 2^426074880 is an apocalyptic number.

426074880 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 426074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861227136).

426074880 is an abundant number, since it is smaller than the sum of its proper divisors (1296379392).

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

426074880 is a wasteful number, since it uses less digits than its factorization.

426074880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 426074880 is about 20641.5813347718. The cubic root of 426074880 is about 752.4806042027.

The spelling of 426074880 in words is "four hundred twenty-six million, seventy-four thousand, eight hundred eighty".