259052640 has 384 divisors, whose sum is σ = 1047416832. Its totient is φ = 52254720.

The previous prime is 259052623. The next prime is 259052653. The reversal of 259052640 is 46250952.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1589199 + ... + 1589361.

It is an arithmetic number, because the mean of its divisors is an integer number (2727648).

Almost surely, 2^259052640 is an apocalyptic number.

259052640 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 259052640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523708416).

259052640 is an abundant number, since it is smaller than the sum of its proper divisors (788364192).

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

259052640 is a wasteful number, since it uses less digits than its factorization.

259052640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 259052640 is about 16095.1123015653. The cubic root of 259052640 is about 637.4742903896.

The spelling of 259052640 in words is "two hundred fifty-nine million, fifty-two thousand, six hundred forty".