259451280 has 480 divisors, whose sum is σ = 1052932608. Its totient is φ = 56524800.

The previous prime is 259451279. The next prime is 259451303. The reversal of 259451280 is 82154952.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5520217 + ... + 5520263.

Almost surely, 2^259451280 is an apocalyptic number.

259451280 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 259451280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526466304).

259451280 is an abundant number, since it is smaller than the sum of its proper divisors (793481328).

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

259451280 is a wasteful number, since it uses less digits than its factorization.

259451280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 259451280 is about 16107.4914247998. The cubic root of 259451280 is about 637.8011126540.

It can be divided in two parts, 25945 and 1280, that added together give a square (27225 = 165²).

The spelling of 259451280 in words is "two hundred fifty-nine million, four hundred fifty-one thousand, two hundred eighty".