259842960 has 480 divisors, whose sum is σ = 1052932608. Its totient is φ = 56770560.

The previous prime is 259842923. The next prime is 259842967. The reversal of 259842960 is 69248952.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (259842967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3659725 + ... + 3659795.

Almost surely, 2^259842960 is an apocalyptic number.

259842960 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 259842960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526466304).

259842960 is an abundant number, since it is smaller than the sum of its proper divisors (793089648).

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

259842960 is a wasteful number, since it uses less digits than its factorization.

259842960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 259842960 is about 16119.6451573848. The cubic root of 259842960 is about 638.1219029192.

The spelling of 259842960 in words is "two hundred fifty-nine million, eight hundred forty-two thousand, nine hundred sixty".