258000120 has 128 divisors (see below), whose sum is σ = 982886400. Its totient is φ = 58969728.

The previous prime is 258000091. The next prime is 258000121. The reversal of 258000120 is 21000852.

258000120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 258000093 and 258000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258000121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9504 + ... + 24623.

It is an arithmetic number, because the mean of its divisors is an integer number (7678800).

Almost surely, 2^258000120 is an apocalyptic number.

258000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258000120 is an abundant number, since it is smaller than the sum of its proper divisors (724886280).

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

258000120 is a wasteful number, since it uses less digits than its factorization.

258000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34154 (or 34144 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 258000120 is about 16062.3821396454. The cubic root of 258000120 is about 636.6097747408.

Adding to 258000120 its reverse (21000852), we get a palindrome (279000972).

The spelling of 258000120 in words is "two hundred fifty-eight million, one hundred twenty", and thus it is an aban number.