258948 has 18 divisors (see below), whose sum is σ = 654654. Its totient is φ = 86304.

The previous prime is 258919. The next prime is 258949. The reversal of 258948 is 849852.

It can be written as a sum of positive squares in only one way, i.e., 161604 + 97344 = 402^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 7193 = 258948 / (2 + 5 + 8 + 9 + 4 + 8).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258948.

It is not an unprimeable number, because it can be changed into a prime (258949) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3561 + ... + 3632.

2²⁵⁸⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

258948 is an abundant number, since it is smaller than the sum of its proper divisors (395706).

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

258948 is a wasteful number, since it uses less digits than its factorization.

258948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7203 (or 7198 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 258948 is about 508.8693348985. The cubic root of 258948 is about 63.7388446455.

The spelling of 258948 in words is "two hundred fifty-eight thousand, nine hundred forty-eight".