258849280 has 40 divisors (see below), whose sum is σ = 620637732. Its totient is φ = 103538688.

The previous prime is 258849271. The next prime is 258849289. The reversal of 258849280 is 82948852.

258849280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (258849271) and next prime (258849289).

It can be written as a sum of positive squares in 2 ways, for example, as 218093824 + 40755456 = 14768^2 + 6384^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 258849280.

It is not an unprimeable number, because it can be changed into a prime (258849289) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47997 + ... + 53116.

Almost surely, 2^258849280 is an apocalyptic number.

258849280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258849280 is an abundant number, since it is smaller than the sum of its proper divisors (361788452).

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

258849280 is an equidigital number, since it uses as much as digits as its factorization.

258849280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101136 (or 101120 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The square root of 258849280 is about 16088.7936154331. The cubic root of 258849280 is about 637.3074379322.

The spelling of 258849280 in words is "two hundred fifty-eight million, eight hundred forty-nine thousand, two hundred eighty".