259596480 has 448 divisors, whose sum is σ = 1015934976. Its totient is φ = 55296000.

The previous prime is 259596479. The next prime is 259596481. The reversal of 259596480 is 84695952.

It is an interprime number because it is at equal distance from previous prime (259596479) and next prime (259596481).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259596481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4255650 + ... + 4255710.

It is an arithmetic number, because the mean of its divisors is an integer number (2267712).

Almost surely, 2^259596480 is an apocalyptic number.

259596480 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 259596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507967488).

259596480 is an abundant number, since it is smaller than the sum of its proper divisors (756338496).

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

259596480 is a wasteful number, since it uses less digits than its factorization.

259596480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The square root of 259596480 is about 16111.9980139026. The cubic root of 259596480 is about 637.9200706988.

The spelling of 259596480 in words is "two hundred fifty-nine million, five hundred ninety-six thousand, four hundred eighty".