259478080 has 56 divisors (see below), whose sum is σ = 639211320. Its totient is φ = 100208640.

The previous prime is 259478071. The next prime is 259478081. The reversal of 259478080 is 80874952.

259478080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9585216 + 249892864 = 3096^2 + 15808^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a cake number, because a cake can be divided into 259478080 parts by 1159 planar cuts.

It is not an unprimeable number, because it can be changed into a prime (259478081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4701 + ... + 23260.

Almost surely, 2^259478080 is an apocalyptic number.

259478080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259478080 is an abundant number, since it is smaller than the sum of its proper divisors (379733240).

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

259478080 is a wasteful number, since it uses less digits than its factorization.

259478080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28007 (or 27997 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 259478080 is about 16108.3233143614. The cubic root of 259478080 is about 637.8230724368.

The spelling of 259478080 in words is "two hundred fifty-nine million, four hundred seventy-eight thousand, eighty".