259983376 has 45 divisors (see below), whose sum is σ = 525466461. Its totient is φ = 124606272.

The previous prime is 259983343. The next prime is 259983379. The reversal of 259983376 is 673389952.

The square root of 259983376 is 16124.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 136328976 + 123654400 = 11676^2 + 11120^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (259983379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1870315 + ... + 1870453.

Almost surely, 2^259983376 is an apocalyptic number.

259983376 is the 16124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259983376

259983376 is an abundant number, since it is smaller than the sum of its proper divisors (265483085).

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

259983376 is an equidigital number, since it uses as much as digits as its factorization.

259983376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 170 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 52.

The cubic root of 259983376 is about 638.2368266792.

The spelling of 259983376 in words is "two hundred fifty-nine million, nine hundred eighty-three thousand, three hundred seventy-six".