259650048 has 320 divisors, whose sum is σ = 879943680. Its totient is φ = 66355200.

The previous prime is 259650031. The next prime is 259650049. The reversal of 259650048 is 840056952.

259650048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 259649988 and 259650015.

It is not an unprimeable number, because it can be changed into a prime (259650049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6332908 + ... + 6332948.

It is an arithmetic number, because the mean of its divisors is an integer number (2749824).

Almost surely, 2^259650048 is an apocalyptic number.

259650048 is a gapful number since it is divisible by the number (28) 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 259650048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439971840).

259650048 is an abundant number, since it is smaller than the sum of its proper divisors (620293632).

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

259650048 is a wasteful number, since it uses less digits than its factorization.

259650048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 259650048 is about 16113.6602918145. The cubic root of 259650048 is about 637.9639461680.

The spelling of 259650048 in words is "two hundred fifty-nine million, six hundred fifty thousand, forty-eight".