259409920 has 288 divisors, whose sum is σ = 806682240. Its totient is φ = 79134720.

The previous prime is 259409791. The next prime is 259409933. The reversal of 259409920 is 29904952.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5519337 + ... + 5519383.

It is an arithmetic number, because the mean of its divisors is an integer number (2800980).

Almost surely, 2^259409920 is an apocalyptic number.

259409920 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 259409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403341120).

259409920 is an abundant number, since it is smaller than the sum of its proper divisors (547272320).

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

259409920 is a wasteful number, since it uses less digits than its factorization.

259409920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 259409920 is about 16106.2074989738. The cubic root of 259409920 is about 637.7672195137.

The spelling of 259409920 in words is "two hundred fifty-nine million, four hundred nine thousand, nine hundred twenty".