258053280 has 48 divisors (see below), whose sum is σ = 812869344. Its totient is φ = 68814080.

The previous prime is 258053273. The next prime is 258053293. The reversal of 258053280 is 82350852.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268326 + ... + 269285.

It is an arithmetic number, because the mean of its divisors is an integer number (16934778).

Almost surely, 2^258053280 is an apocalyptic number.

258053280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258053280 is an abundant number, since it is smaller than the sum of its proper divisors (554816064).

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

258053280 is a wasteful number, since it uses less digits than its factorization.

258053280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537629 (or 537621 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 258053280 is about 16064.0368525474. The cubic root of 258053280 is about 636.6534954589.

The spelling of 258053280 in words is "two hundred fifty-eight million, fifty-three thousand, two hundred eighty".