259800460 has 72 divisors (see below), whose sum is σ = 600130944. Its totient is φ = 94049280.

The previous prime is 259800413. The next prime is 259800461. The reversal of 259800460 is 64008952.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (259800461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1654702 + ... + 1654858.

It is an arithmetic number, because the mean of its divisors is an integer number (8335152).

Almost surely, 2^259800460 is an apocalyptic number.

259800460 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 259800460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300065472).

259800460 is an abundant number, since it is smaller than the sum of its proper divisors (340330484).

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

259800460 is a wasteful number, since it uses less digits than its factorization.

259800460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 259800460 is about 16118.3268362445. The cubic root of 259800460 is about 638.0871105461.

The spelling of 259800460 in words is "two hundred fifty-nine million, eight hundred thousand, four hundred sixty".