258363252 has 72 divisors (see below), whose sum is σ = 753846912. Its totient is φ = 73080000.

The previous prime is 258363251. The next prime is 258363253. The reversal of 258363252 is 252363852.

It is an interprime number because it is at equal distance from previous prime (258363251) and next prime (258363253).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258363251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20377 + ... + 30527.

It is an arithmetic number, because the mean of its divisors is an integer number (10470096).

Almost surely, 2^258363252 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 258363252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376923456).

258363252 is an abundant number, since it is smaller than the sum of its proper divisors (495483660).

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

258363252 is a wasteful number, since it uses less digits than its factorization.

258363252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10269 (or 10264 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 258363252 is about 16073.6819677384. The cubic root of 258363252 is about 636.9083082035.

The spelling of 258363252 in words is "two hundred fifty-eight million, three hundred sixty-three thousand, two hundred fifty-two".