258552 has 96 divisors (see below), whose sum is σ = 873600. Its totient is φ = 69984.

The previous prime is 258551. The next prime is 258563. The reversal of 258552 is 255852.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13599 + ... + 13617.

It is an arithmetic number, because the mean of its divisors is an integer number (9100).

2²⁵⁸⁵⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436800).

258552 is an abundant number, since it is smaller than the sum of its proper divisors (615048).

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

258552 is a wasteful number, since it uses less digits than its factorization.

258552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 31 counting only the distinct ones).

The product of its digits is 4000, while the sum is 27.

The square root of 258552 is about 508.4800881057. The cubic root of 258552 is about 63.7063368835.

The spelling of 258552 in words is "two hundred fifty-eight thousand, five hundred fifty-two".