259879200 has 288 divisors, whose sum is σ = 999936000. Its totient is φ = 57369600.

The previous prime is 259879189. The next prime is 259879201. The reversal of 259879200 is 2978952.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (259879201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 520551 + ... + 521049.

It is an arithmetic number, because the mean of its divisors is an integer number (3472000).

Almost surely, 2^259879200 is an apocalyptic number.

259879200 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 259879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499968000).

259879200 is an abundant number, since it is smaller than the sum of its proper divisors (740056800).

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

259879200 is a wasteful number, since it uses less digits than its factorization.

259879200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 259879200 is about 16120.7692124166. The cubic root of 259879200 is about 638.1515675838.

The spelling of 259879200 in words is "two hundred fifty-nine million, eight hundred seventy-nine thousand, two hundred".