259500480 has 224 divisors, whose sum is σ = 890991360. Its totient is φ = 63774720.

The previous prime is 259500463. The next prime is 259500541. The reversal of 259500480 is 84005952.

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, 747667 + ... + 748013.

It is an arithmetic number, because the mean of its divisors is an integer number (3977640).

Almost surely, 2^259500480 is an apocalyptic number.

259500480 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 259500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445495680).

259500480 is an abundant number, since it is smaller than the sum of its proper divisors (631490880).

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

259500480 is a wasteful number, since it uses less digits than its factorization.

259500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 259500480 is about 16109.0185920806. The cubic root of 259500480 is about 637.8414257221.

The spelling of 259500480 in words is "two hundred fifty-nine million, five hundred thousand, four hundred eighty".