258033280 has 64 divisors (see below), whose sum is σ = 620353800. Its totient is φ = 102629376.

The previous prime is 258033253. The next prime is 258033299. The reversal of 258033280 is 82330852.

It can be written as a sum of positive squares in 4 ways, for example, as 222129216 + 35904064 = 14904^2 + 5992^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122476 + ... + 124564.

Almost surely, 2^258033280 is an apocalyptic number.

258033280 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 258033280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310176900).

258033280 is an abundant number, since it is smaller than the sum of its proper divisors (362320520).

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

258033280 is a wasteful number, since it uses less digits than its factorization.

258033280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 258033280 is about 16063.4143319532. The cubic root of 258033280 is about 636.6370474359.

The spelling of 258033280 in words is "two hundred fifty-eight million, thirty-three thousand, two hundred eighty".