259042896 has 120 divisors (see below), whose sum is σ = 839271680. Its totient is φ = 73052928.

The previous prime is 259042891. The next prime is 259042919. The reversal of 259042896 is 698240952.

259042896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259042891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78006 + ... + 81258.

Almost surely, 2^259042896 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 259042896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419635840).

259042896 is an abundant number, since it is smaller than the sum of its proper divisors (580228784).

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

259042896 is a wasteful number, since it uses less digits than its factorization.

259042896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3353 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 259042896 is about 16094.8095981282. The cubic root of 259042896 is about 637.4662976416.

Adding to 259042896 its sum of digits (45), we get a triangular number (259042941 = T₂₂₇₆₁).

The spelling of 259042896 in words is "two hundred fifty-nine million, forty-two thousand, eight hundred ninety-six".