258822144 has 312 divisors, whose sum is σ = 920013120. Its totient is φ = 68419584.

The previous prime is 258822119. The next prime is 258822149. The reversal of 258822144 is 441228852.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 258822099 and 258822108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258822149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4386787 + ... + 4386845.

It is an arithmetic number, because the mean of its divisors is an integer number (2948760).

Almost surely, 2^258822144 is an apocalyptic number.

258822144 is a gapful number since it is divisible by the number (24) 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 258822144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460006560).

258822144 is an abundant number, since it is smaller than the sum of its proper divisors (661190976).

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

258822144 is a wasteful number, since it uses less digits than its factorization.

258822144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 88 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 258822144 is about 16087.9502734189. The cubic root of 258822144 is about 637.2851668265.

The spelling of 258822144 in words is "two hundred fifty-eight million, eight hundred twenty-two thousand, one hundred forty-four".