258414920 has 32 divisors (see below), whose sum is σ = 582172920. Its totient is φ = 103234560.

The previous prime is 258414899. The next prime is 258414929. The reversal of 258414920 is 29414852.

258414920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 77404804 + 181010116 = 8798^2 + 13454^2 .

It is not an unprimeable number, because it can be changed into a prime (258414929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31574 + ... + 38906.

Almost surely, 2^258414920 is an apocalyptic number.

258414920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258414920 is an abundant number, since it is smaller than the sum of its proper divisors (323758000).

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

258414920 is a wasteful number, since it uses less digits than its factorization.

258414920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8225 (or 8221 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 258414920 is about 16075.2891109305. The cubic root of 258414920 is about 636.9507621061.

The spelling of 258414920 in words is "two hundred fifty-eight million, four hundred fourteen thousand, nine hundred twenty".