259242984 has 384 divisors, whose sum is σ = 983136000. Its totient is φ = 61585920.

The previous prime is 259242983. The next prime is 259242989. The reversal of 259242984 is 489242952.

It is not an unprimeable number, because it can be changed into a prime (259242983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2378322 + ... + 2378430.

It is an arithmetic number, because the mean of its divisors is an integer number (2560250).

Almost surely, 2^259242984 is an apocalyptic number.

259242984 is a gapful number since it is divisible by the number (24) 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 259242984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491568000).

259242984 is an abundant number, since it is smaller than the sum of its proper divisors (723893016).

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

259242984 is a wasteful number, since it uses less digits than its factorization.

259242984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 145 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 259242984 is about 16101.0243152416. The cubic root of 259242984 is about 637.6303844040.

The spelling of 259242984 in words is "two hundred fifty-nine million, two hundred forty-two thousand, nine hundred eighty-four".