259490080 has 48 divisors (see below), whose sum is σ = 614033784. Its totient is φ = 103628800.

The previous prime is 259490069. The next prime is 259490089. The reversal of 259490080 is 80094952.

It can be written as a sum of positive squares in 4 ways, for example, as 207014544 + 52475536 = 14388^2 + 7244^2 .

It is not an unprimeable number, because it can be changed into a prime (259490089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161280 + ... + 162880.

Almost surely, 2^259490080 is an apocalyptic number.

259490080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259490080 is an abundant number, since it is smaller than the sum of its proper divisors (354543704).

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

259490080 is a wasteful number, since it uses less digits than its factorization.

259490080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 259490080 is about 16108.6957883002. The cubic root of 259490080 is about 637.8329046853.

The spelling of 259490080 in words is "two hundred fifty-nine million, four hundred ninety thousand, eighty".