259749480 has 64 divisors (see below), whose sum is σ = 783619200. Its totient is φ = 68878080.

The previous prime is 259749389. The next prime is 259749487. The reversal of 259749480 is 84947952.

It is a super-4 number, since 4×259749480⁴ (a number of 35 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (259749487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15741 + ... + 27699.

It is an arithmetic number, because the mean of its divisors is an integer number (12244050).

Almost surely, 2^259749480 is an apocalyptic number.

259749480 is a gapful number since it is divisible by the number (20) 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 259749480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391809600).

259749480 is an abundant number, since it is smaller than the sum of its proper divisors (523869720).

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

259749480 is a wasteful number, since it uses less digits than its factorization.

259749480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12154 (or 12150 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 259749480 is about 16116.7453290049. The cubic root of 259749480 is about 638.0453710654.

The spelling of 259749480 in words is "two hundred fifty-nine million, seven hundred forty-nine thousand, four hundred eighty".