258323616 has 144 divisors (see below), whose sum is σ = 762810048. Its totient is φ = 82867200.

The previous prime is 258323599. The next prime is 258323621. The reversal of 258323616 is 616323852.

It is a happy number.

258323616 is a `hidden beast` number, since 2 + 5 + 8 + 32 + 3 + 616 = 666.

258323616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1546765 + ... + 1546931.

It is an arithmetic number, because the mean of its divisors is an integer number (5297292).

Almost surely, 2^258323616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258323616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381405024).

258323616 is an abundant number, since it is smaller than the sum of its proper divisors (504486432).

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

258323616 is a wasteful number, since it uses less digits than its factorization.

258323616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 344 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 258323616 is about 16072.4489733208. The cubic root of 258323616 is about 636.8757367644.

The spelling of 258323616 in words is "two hundred fifty-eight million, three hundred twenty-three thousand, six hundred sixteen".