258042078 has 192 divisors, whose sum is σ = 725667840. Its totient is φ = 66484800.

The previous prime is 258042077. The next prime is 258042091. The reversal of 258042078 is 870240852.

It is a happy number.

258042078 is a `hidden beast` number, since 2 + 580 + 4 + 2 + 0 + 78 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258042073) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4230168 + ... + 4230228.

It is an arithmetic number, because the mean of its divisors is an integer number (3779520).

Almost surely, 2^258042078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258042078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362833920).

258042078 is an abundant number, since it is smaller than the sum of its proper divisors (467625762).

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

258042078 is a wasteful number, since it uses less digits than its factorization.

258042078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 258042078 is about 16063.6881817346. The cubic root of 258042078 is about 636.6442830259.

The spelling of 258042078 in words is "two hundred fifty-eight million, forty-two thousand, seventy-eight".