259948416 has 256 divisors, whose sum is σ = 874621440. Its totient is φ = 66576384.

The previous prime is 259948393. The next prime is 259948439. The reversal of 259948416 is 614849952.

It is an interprime number because it is at equal distance from previous prime (259948393) and next prime (259948439).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1502506 + ... + 1502678.

It is an arithmetic number, because the mean of its divisors is an integer number (3416490).

Almost surely, 2^259948416 is an apocalyptic number.

259948416 is a gapful number since it is divisible by the number (26) 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 259948416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437310720).

259948416 is an abundant number, since it is smaller than the sum of its proper divisors (614673024).

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

259948416 is a wasteful number, since it uses less digits than its factorization.

259948416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 241 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 259948416 is about 16122.9158653142. The cubic root of 259948416 is about 638.2082174658.

It can be divided in two parts, 2599 and 48416, that added together give a palindrome (51015).

The spelling of 259948416 in words is "two hundred fifty-nine million, nine hundred forty-eight thousand, four hundred sixteen".