259000742 has 96 divisors (see below), whose sum is σ = 554131200. Its totient is φ = 88102080.

The previous prime is 259000741. The next prime is 259000757. The reversal of 259000742 is 247000952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259000741) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 418109 + ... + 418727.

It is an arithmetic number, because the mean of its divisors is an integer number (5772200).

Almost surely, 2^259000742 is an apocalyptic number.

259000742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a pronic number, being equal to 16093×16094.

259000742 is an abundant number, since it is smaller than the sum of its proper divisors (295130458).

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

259000742 is a wasteful number, since it uses less digits than its factorization.

259000742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 259000742 is about 16093.4999922329. The cubic root of 259000742 is about 637.4317175103.

The spelling of 259000742 in words is "two hundred fifty-nine million, seven hundred forty-two", and thus it is an aban number.