259042080 has 192 divisors, whose sum is σ = 904006656. Its totient is φ = 61824000.

The previous prime is 259042061. The next prime is 259042099. The reversal of 259042080 is 80240952.

It is an interprime number because it is at equal distance from previous prime (259042061) and next prime (259042099).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 374535 + ... + 375225.

It is an arithmetic number, because the mean of its divisors is an integer number (4708368).

Almost surely, 2^259042080 is an apocalyptic number.

259042080 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 259042080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452003328).

259042080 is an abundant number, since it is smaller than the sum of its proper divisors (644964576).

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

259042080 is a wasteful number, since it uses less digits than its factorization.

259042080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 259042080 is about 16094.7842483209. The cubic root of 259042080 is about 637.4656282891.

The spelling of 259042080 in words is "two hundred fifty-nine million, forty-two thousand, eighty".