258528900 has 216 divisors, whose sum is σ = 892547040. Its totient is φ = 57576960.

The previous prime is 258528899. The next prime is 258528913. The reversal of 258528900 is 9825852.

258528900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 631896 + ... + 632304.

Almost surely, 2^258528900 is an apocalyptic number.

258528900 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 258528900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446273520).

258528900 is an abundant number, since it is smaller than the sum of its proper divisors (634018140).

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

258528900 is a wasteful number, since it uses less digits than its factorization.

258528900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 258528900 is about 16078.8339129428. The cubic root of 258528900 is about 637.0443957304.

The spelling of 258528900 in words is "two hundred fifty-eight million, five hundred twenty-eight thousand, nine hundred".