259349472 has 192 divisors, whose sum is σ = 816721920. Its totient is φ = 79833600.

The previous prime is 259349459. The next prime is 259349479. The reversal of 259349472 is 274943952.

259349472 is a `hidden beast` number, since 2 + 5 + 93 + 494 + 72 = 666.

It is a super-3 number, since 3×259349472³ (a number of 26 digits) contains 333 as substring.

Its product of digits (544320) is a multiple of the sum of its prime divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259349479) 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, 615822 + ... + 616242.

It is an arithmetic number, because the mean of its divisors is an integer number (4253760).

Almost surely, 2^259349472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259349472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408360960).

259349472 is an abundant number, since it is smaller than the sum of its proper divisors (557372448).

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

259349472 is a wasteful number, since it uses less digits than its factorization.

259349472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 480 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 259349472 is about 16104.3308460799. The cubic root of 259349472 is about 637.7176779133.

The spelling of 259349472 in words is "two hundred fifty-nine million, three hundred forty-nine thousand, four hundred seventy-two".