259749072 has 160 divisors (see below), whose sum is σ = 831375360. Its totient is φ = 76970880.

The previous prime is 259749047. The next prime is 259749079. The reversal of 259749072 is 270947952.

259749072 is a `hidden beast` number, since 2 + 5 + 97 + 490 + 72 = 666.

It is a super-2 number, since 2×259749072² = 134939160809722368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259749079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222763 + ... + 223925.

It is an arithmetic number, because the mean of its divisors is an integer number (5196096).

Almost surely, 2^259749072 is an apocalyptic number.

259749072 is a gapful number since it is divisible by the number (22) 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 259749072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415687680).

259749072 is an abundant number, since it is smaller than the sum of its proper divisors (571626288).

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

259749072 is a wasteful number, since it uses less digits than its factorization.

259749072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 259749072 is about 16116.7326713574. The cubic root of 259749072 is about 638.0450369966.

The spelling of 259749072 in words is "two hundred fifty-nine million, seven hundred forty-nine thousand, seventy-two".