259348320 has 288 divisors, whose sum is σ = 1103880960. Its totient is φ = 53867520.

The previous prime is 259348319. The next prime is 259348321. The reversal of 259348320 is 23843952.

259348320 is a `hidden beast` number, since 2 + 593 + 48 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (259348319) and next prime (259348321).

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259348321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109711 + ... + 112049.

It is an arithmetic number, because the mean of its divisors is an integer number (3832920).

Almost surely, 2^259348320 is an apocalyptic number.

259348320 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 259348320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551940480).

259348320 is an abundant number, since it is smaller than the sum of its proper divisors (844532640).

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

259348320 is a wasteful number, since it uses less digits than its factorization.

259348320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 259348320 is about 16104.2950792638. The cubic root of 259348320 is about 637.7167336895.

It can be divided in two parts, 2593483 and 20, that added together give a triangular number (2593503 = T₂₂₇₇).

The spelling of 259348320 in words is "two hundred fifty-nine million, three hundred forty-eight thousand, three hundred twenty".