259795200 has 216 divisors, whose sum is σ = 980367808. Its totient is φ = 59351040.

The previous prime is 259795171. The next prime is 259795201. The reversal of 259795200 is 2597952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259795201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133434 + ... + 135366.

Almost surely, 2^259795200 is an apocalyptic number.

259795200 is a gapful number since it is divisible by the number (20) 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 259795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490183904).

259795200 is an abundant number, since it is smaller than the sum of its proper divisors (720572608).

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

259795200 is a wasteful number, since it uses less digits than its factorization.

259795200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 259795200 is about 16118.1636671179. The cubic root of 259795200 is about 638.0828042145.

Multiplying 259795200 by its reverse (2597952), we get a square (674935459430400 = 25979520²).

259795200 divided by its reverse (2597952) gives a square (100 = 10²).

The spelling of 259795200 in words is "two hundred fifty-nine million, seven hundred ninety-five thousand, two hundred".