258723252 has 54 divisors (see below), whose sum is σ = 660774114. Its totient is φ = 85354080.

The previous prime is 258723233. The next prime is 258723253. The reversal of 258723252 is 252327852.

It is a happy number.

258723252 is a `hidden beast` number, since 2 + 587 + 23 + 2 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 257409936 + 1313316 = 16044^2 + 1146^2 .

It is a super-2 number, since 2×258723252² = 133875442250911008, which contains 22 as substring.

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 (258723253) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1313218 + ... + 1313414.

Almost surely, 2^258723252 is an apocalyptic number.

It is an amenable number.

258723252 is an abundant number, since it is smaller than the sum of its proper divisors (402050862).

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

258723252 is a wasteful number, since it uses less digits than its factorization.

258723252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 393 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 258723252 is about 16084.8764993705. The cubic root of 258723252 is about 637.2039908343.

The spelling of 258723252 in words is "two hundred fifty-eight million, seven hundred twenty-three thousand, two hundred fifty-two".