258947120 has 40 divisors (see below), whose sum is σ = 604247040. Its totient is φ = 103201280.

The previous prime is 258947081. The next prime is 258947141. The reversal of 258947120 is 21749852.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×258947120² = 134107221912588800, which contains 22 as substring.

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, 16721 + ... + 28239.

It is an arithmetic number, because the mean of its divisors is an integer number (15106176).

Almost surely, 2^258947120 is an apocalyptic number.

258947120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258947120 is an abundant number, since it is smaller than the sum of its proper divisors (345299920).

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

258947120 is a wasteful number, since it uses less digits than its factorization.

258947120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11813 (or 11807 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 258947120 is about 16091.8339539035. The cubic root of 258947120 is about 637.3877244283.

The spelling of 258947120 in words is "two hundred fifty-eight million, nine hundred forty-seven thousand, one hundred twenty".