258073088 has 160 divisors (see below), whose sum is σ = 659957760. Its totient is φ = 98058240.

The previous prime is 258073069. The next prime is 258073091. The reversal of 258073088 is 880370852.

It is a super-3 number, since 3×258073088³ (a number of 26 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1351073 + ... + 1351263.

It is an arithmetic number, because the mean of its divisors is an integer number (4124736).

Almost surely, 2^258073088 is an apocalyptic number.

258073088 is a gapful number since it is divisible by the number (28) 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 258073088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329978880).

258073088 is an abundant number, since it is smaller than the sum of its proper divisors (401884672).

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

258073088 is a wasteful number, since it uses less digits than its factorization.

258073088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 41.

The square root of 258073088 is about 16064.6533731668. The cubic root of 258073088 is about 636.6697847433.

The spelling of 258073088 in words is "two hundred fifty-eight million, seventy-three thousand, eighty-eight".