259448832 has 280 divisors, whose sum is σ = 856372176. Its totient is φ = 77856768.

The previous prime is 259448831. The next prime is 259448843. The reversal of 259448832 is 238844952.

Its product of digits (552960) is a multiple of the sum of its prime divisors (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259448831) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11280373 + ... + 11280395.

Almost surely, 2^259448832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259448832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428186088).

259448832 is an abundant number, since it is smaller than the sum of its proper divisors (596923344).

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

259448832 is an equidigital number, since it uses as much as digits as its factorization.

259448832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 45 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 259448832 is about 16107.4154351342. The cubic root of 259448832 is about 637.7991066999.

The spelling of 259448832 in words is "two hundred fifty-nine million, four hundred forty-eight thousand, eight hundred thirty-two".