259398720 has 224 divisors, whose sum is σ = 1046073600. Its totient is φ = 59277312.

The previous prime is 259398701. The next prime is 259398721. The reversal of 259398720 is 27893952.

259398720 is a `hidden beast` number, since 259 + 398 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (259398721) 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 31 ways as a sum of consecutive naturals, for example, 58336 + ... + 62624.

Almost surely, 2^259398720 is an apocalyptic number.

259398720 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 259398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523036800).

259398720 is an abundant number, since it is smaller than the sum of its proper divisors (786674880).

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

259398720 is a wasteful number, since it uses less digits than its factorization.

259398720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 259398720 is about 16105.8598031896. The cubic root of 259398720 is about 637.7580408674.

The spelling of 259398720 in words is "two hundred fifty-nine million, three hundred ninety-eight thousand, seven hundred twenty".