259560400 has 60 divisors (see below), whose sum is σ = 680295744. Its totient is φ = 94384000.

The previous prime is 259560397. The next prime is 259560409. The reversal of 259560400 is 4065952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259560409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25096 + ... + 33895.

Almost surely, 2^259560400 is an apocalyptic number.

259560400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259560400 is an abundant number, since it is smaller than the sum of its proper divisors (420735344).

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

259560400 is a wasteful number, since it uses less digits than its factorization.

259560400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59020 (or 59009 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 259560400 is about 16110.8783124943. The cubic root of 259560400 is about 637.8905155696.

The spelling of 259560400 in words is "two hundred fifty-nine million, five hundred sixty thousand, four hundred".