426578960 has 40 divisors (see below), whose sum is σ = 1050140376. Its totient is φ = 160593920.

The previous prime is 426578947. The next prime is 426578983. The reversal of 426578960 is 69875624.

It can be written as a sum of positive squares in 4 ways, for example, as 110166016 + 316412944 = 10496^2 + 17788^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×426578960² = 363939218229363200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 155471 + ... + 158190.

Almost surely, 2^426578960 is an apocalyptic number.

426578960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426578960 is an abundant number, since it is smaller than the sum of its proper divisors (623561416).

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

426578960 is a wasteful number, since it uses less digits than its factorization.

426578960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313691 (or 313685 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The square root of 426578960 is about 20653.7880302864. The cubic root of 426578960 is about 752.7772351115. Note that the first 3 decimals are identical.

The spelling of 426578960 in words is "four hundred twenty-six million, five hundred seventy-eight thousand, nine hundred sixty".