258795120 has 80 divisors (see below), whose sum is σ = 807760800. Its totient is φ = 68539392.

The previous prime is 258795107. The next prime is 258795133. The reversal of 258795120 is 21597852.

It is an interprime number because it is at equal distance from previous prime (258795107) and next prime (258795133).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32142 + ... + 39378.

It is an arithmetic number, because the mean of its divisors is an integer number (10097010).

Almost surely, 2^258795120 is an apocalyptic number.

258795120 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 258795120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403880400).

258795120 is an abundant number, since it is smaller than the sum of its proper divisors (548965680).

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

258795120 is a wasteful number, since it uses less digits than its factorization.

258795120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7402 (or 7396 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 258795120 is about 16087.1103682420. The cubic root of 258795120 is about 637.2629860946.

The spelling of 258795120 in words is "two hundred fifty-eight million, seven hundred ninety-five thousand, one hundred twenty".