258117120 has 240 divisors, whose sum is σ = 947952720. Its totient is φ = 64684032.

The previous prime is 258117077. The next prime is 258117131. The reversal of 258117120 is 21711852.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 391351 + ... + 392009.

It is an arithmetic number, because the mean of its divisors is an integer number (3949803).

Almost surely, 2^258117120 is an apocalyptic number.

258117120 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 258117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473976360).

258117120 is an abundant number, since it is smaller than the sum of its proper divisors (689835600).

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

258117120 is a wasteful number, since it uses less digits than its factorization.

258117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 258117120 is about 16066.0237769026. The cubic root of 258117120 is about 636.7059918632.

Adding to 258117120 its reverse (21711852), we get a palindrome (279828972).

It can be divided in two parts, 2581 and 17120, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 258117120 in words is "two hundred fifty-eight million, one hundred seventeen thousand, one hundred twenty".