258247300 has 36 divisors (see below), whose sum is σ = 563284260. Its totient is φ = 102766720.

The previous prime is 258247277. The next prime is 258247303. The reversal of 258247300 is 3742852.

It can be written as a sum of positive squares in 6 ways, for example, as 3717184 + 254530116 = 1928^2 + 15954^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258247303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13146 + ... + 26254.

It is an arithmetic number, because the mean of its divisors is an integer number (15646785).

Almost surely, 2^258247300 is an apocalyptic number.

258247300 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 258247300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281642130).

258247300 is an abundant number, since it is smaller than the sum of its proper divisors (305036960).

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

258247300 is a wasteful number, since it uses less digits than its factorization.

258247300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13320 (or 13313 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 258247300 is about 16070.0746731308. The cubic root of 258247300 is about 636.8130136363.

It can be divided in two parts, 25824 and 7300, that added together give a square (33124 = 182²).

The spelling of 258247300 in words is "two hundred fifty-eight million, two hundred forty-seven thousand, three hundred".