258218436 has 144 divisors (see below), whose sum is σ = 764164800. Its totient is φ = 67398912.

The previous prime is 258218431. The next prime is 258218453. The reversal of 258218436 is 634812852.

It is a junction number, because it is equal to n+sod(n) for n = 258218394 and 258218403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258218431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323590 + ... + 324386.

It is an arithmetic number, because the mean of its divisors is an integer number (5306700).

Almost surely, 2^258218436 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 258218436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382082400).

258218436 is an abundant number, since it is smaller than the sum of its proper divisors (505946364).

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

258218436 is a wasteful number, since it uses less digits than its factorization.

258218436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 857 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 258218436 is about 16069.1765812689. The cubic root of 258218436 is about 636.7892874693.

The spelling of 258218436 in words is "two hundred fifty-eight million, two hundred eighteen thousand, four hundred thirty-six".