258412032 has 240 divisors, whose sum is σ = 810281472. Its totient is φ = 82114560.

The previous prime is 258412013. The next prime is 258412039. The reversal of 258412032 is 230214852.

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

It is a junction number, because it is equal to n+sod(n) for n = 258411987 and 258412005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258412039) 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, 3856863 + ... + 3856929.

Almost surely, 2^258412032 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 258412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405140736).

258412032 is an abundant number, since it is smaller than the sum of its proper divisors (551869440).

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

258412032 is an frugal number, since it uses more digits than its factorization.

258412032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 258412032 is about 16075.1992833682. The cubic root of 258412032 is about 636.9483892805.

Adding to 258412032 its reverse (230214852), we get a palindrome (488626884).

The spelling of 258412032 in words is "two hundred fifty-eight million, four hundred twelve thousand, thirty-two".