258943104 has 192 divisors, whose sum is σ = 861157440. Its totient is φ = 73156608.

The previous prime is 258943081. The next prime is 258943121. The reversal of 258943104 is 401349852.

258943104 is a `hidden beast` number, since 258 + 94 + 310 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×258943104² = 134103062218309632, which contains 22 as substring.

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

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, 1314334 + ... + 1314530.

It is an arithmetic number, because the mean of its divisors is an integer number (4485195).

Almost surely, 2^258943104 is an apocalyptic number.

258943104 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 258943104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430578720).

258943104 is an abundant number, since it is smaller than the sum of its proper divisors (602214336).

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

258943104 is a wasteful number, since it uses less digits than its factorization.

258943104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 258943104 is about 16091.7091696314. The cubic root of 258943104 is about 637.3844293381.

The spelling of 258943104 in words is "two hundred fifty-eight million, nine hundred forty-three thousand, one hundred four".