259089480 has 384 divisors, whose sum is σ = 990662400. Its totient is φ = 58189824.

The previous prime is 259089463. The next prime is 259089497. The reversal of 259089480 is 84980952.

259089480 is a `hidden beast` number, since 2 + 5 + 90 + 89 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (259089463) and next prime (259089497).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3121519 + ... + 3121601.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 2^259089480 is an apocalyptic number.

259089480 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 259089480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495331200).

259089480 is an abundant number, since it is smaller than the sum of its proper divisors (731572920).

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

259089480 is a wasteful number, since it uses less digits than its factorization.

259089480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 259089480 is about 16096.2567076945. The cubic root of 259089480 is about 637.5045074652.

The spelling of 259089480 in words is "two hundred fifty-nine million, eighty-nine thousand, four hundred eighty".