258193936 has 200 divisors, whose sum is σ = 700205184. Its totient is φ = 90881280.

The previous prime is 258193927. The next prime is 258193963. The reversal of 258193936 is 639391852.

It is a happy number.

258193936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (349920) is a multiple of the sum of its prime divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5493465 + ... + 5493511.

Almost surely, 2^258193936 is an apocalyptic number.

258193936 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258193936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350102592).

258193936 is an abundant number, since it is smaller than the sum of its proper divisors (442011248).

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

258193936 is a wasteful number, since it uses less digits than its factorization.

258193936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 80 counting only the distinct ones).

The product of its digits is 349920, while the sum is 46.

The square root of 258193936 is about 16068.4142341427. The cubic root of 258193936 is about 636.7691471168.

The spelling of 258193936 in words is "two hundred fifty-eight million, one hundred ninety-three thousand, nine hundred thirty-six".