259869480 has 256 divisors, whose sum is σ = 914457600. Its totient is φ = 58490880.

The previous prime is 259869469. The next prime is 259869487. The reversal of 259869480 is 84968952.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (259869487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1087201 + ... + 1087439.

It is an arithmetic number, because the mean of its divisors is an integer number (3572100).

Almost surely, 2^259869480 is an apocalyptic number.

259869480 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 259869480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457228800).

259869480 is an abundant number, since it is smaller than the sum of its proper divisors (654588120).

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

259869480 is a wasteful number, since it uses less digits than its factorization.

259869480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The square root of 259869480 is about 16120.4677351496. The cubic root of 259869480 is about 638.1436114378.

The spelling of 259869480 in words is "two hundred fifty-nine million, eight hundred sixty-nine thousand, four hundred eighty".