258363280 has 120 divisors (see below), whose sum is σ = 740062008. Its totient is φ = 83349504.

The previous prime is 258363271. The next prime is 258363319. The reversal of 258363280 is 82363852.

It can be written as a sum of positive squares in 4 ways, for example, as 28901376 + 229461904 = 5376^2 + 15148^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64702 + ... + 68578.

Almost surely, 2^258363280 is an apocalyptic number.

258363280 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 258363280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370031004).

258363280 is an abundant number, since it is smaller than the sum of its proper divisors (481698728).

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

258363280 is a wasteful number, since it uses less digits than its factorization.

258363280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3921 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 258363280 is about 16073.6828387274. The cubic root of 258363280 is about 636.9083312117.

It can be divided in two parts, 2583 and 63280, that multiplied together give a triangular number (163452240 = T₁₈₀₈₀).

The spelling of 258363280 in words is "two hundred fifty-eight million, three hundred sixty-three thousand, two hundred eighty".