259660464 has 160 divisors (see below), whose sum is σ = 802615296. Its totient is φ = 70778880.

The previous prime is 259660417. The next prime is 259660483. The reversal of 259660464 is 464066952.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1010224 + ... + 1010480.

Almost surely, 2^259660464 is an apocalyptic number.

259660464 is a gapful number since it is divisible by the number (24) 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 259660464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401307648).

259660464 is an abundant number, since it is smaller than the sum of its proper divisors (542954832).

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

259660464 is a wasteful number, since it uses less digits than its factorization.

259660464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 259660464 is about 16113.9834926067. The cubic root of 259660464 is about 637.9724768085.

The spelling of 259660464 in words is "two hundred fifty-nine million, six hundred sixty thousand, four hundred sixty-four".