426528960 has 336 divisors, whose sum is σ = 1606417920. Its totient is φ = 95047680.

The previous prime is 426528953. The next prime is 426529003. The reversal of 426528960 is 69825624.

It is a congruent number.

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, 1784521 + ... + 1784759.

Almost surely, 2^426528960 is an apocalyptic number.

426528960 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 426528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803208960).

426528960 is an abundant number, since it is smaller than the sum of its proper divisors (1179888960).

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

426528960 is a wasteful number, since it uses less digits than its factorization.

426528960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 426528960 is about 20652.5775631034. The cubic root of 426528960 is about 752.7478225557.

The spelling of 426528960 in words is "four hundred twenty-six million, five hundred twenty-eight thousand, nine hundred sixty".