258386240 has 168 divisors, whose sum is σ = 737957376. Its totient is φ = 84326400.

The previous prime is 258386231. The next prime is 258386251. The reversal of 258386240 is 42683852.

It is a junction number, because it is equal to n+sod(n) for n = 258386194 and 258386203.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4235810 + ... + 4235870.

Almost surely, 2^258386240 is an apocalyptic number.

258386240 is a gapful number since it is divisible by the number (20) 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 258386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368978688).

258386240 is an abundant number, since it is smaller than the sum of its proper divisors (479571136).

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

258386240 is an equidigital number, since it uses as much as digits as its factorization.

258386240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 258386240 is about 16074.3970337926. The cubic root of 258386240 is about 636.9271973887.

The spelling of 258386240 in words is "two hundred fifty-eight million, three hundred eighty-six thousand, two hundred forty".