259216048 has 80 divisors (see below), whose sum is σ = 638181376. Its totient is φ = 99221760.

The previous prime is 259216039. The next prime is 259216081. The reversal of 259216048 is 840612952.

It is a junction number, because it is equal to n+sod(n) for n = 259215998 and 259216016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42265 + ... + 48007.

Almost surely, 2^259216048 is an apocalyptic number.

259216048 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 259216048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319090688).

259216048 is an abundant number, since it is smaller than the sum of its proper divisors (378965328).

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

259216048 is a wasteful number, since it uses less digits than its factorization.

259216048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5802 (or 5796 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 259216048 is about 16100.1878249914. The cubic root of 259216048 is about 637.6082998373.

The spelling of 259216048 in words is "two hundred fifty-nine million, two hundred sixteen thousand, forty-eight".