258453832 has 96 divisors (see below), whose sum is σ = 622392120. Its totient is φ = 99671040.

The previous prime is 258453823. The next prime is 258453863. The reversal of 258453832 is 238354852.

It can be written as a sum of positive squares in 4 ways, for example, as 141943396 + 116510436 = 11914^2 + 10794^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208318 + ... + 209554.

Almost surely, 2^258453832 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 258453832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311196060).

258453832 is an abundant number, since it is smaller than the sum of its proper divisors (363938288).

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

258453832 is a wasteful number, since it uses less digits than its factorization.

258453832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1300 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

The square root of 258453832 is about 16076.4993701987. The cubic root of 258453832 is about 636.9827310860.

It can be divided in two parts, 258453 and 832, that multiplied together give a square (215032896 = 14664²).

The spelling of 258453832 in words is "two hundred fifty-eight million, four hundred fifty-three thousand, eight hundred thirty-two".