259924080 has 160 divisors (see below), whose sum is σ = 873944064. Its totient is φ = 63525888.

The previous prime is 259924061. The next prime is 259924103. The reversal of 259924080 is 80429952.

259924080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708057 + ... + 708423.

Almost surely, 2^259924080 is an apocalyptic number.

259924080 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 259924080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436972032).

259924080 is an abundant number, since it is smaller than the sum of its proper divisors (614019984).

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

259924080 is a wasteful number, since it uses less digits than its factorization.

259924080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 259924080 is about 16122.1611454544. The cubic root of 259924080 is about 638.1883007965.

The spelling of 259924080 in words is "two hundred fifty-nine million, nine hundred twenty-four thousand, eighty".