258363072 has 168 divisors, whose sum is σ = 816967632. Its totient is φ = 78059520.

The previous prime is 258363041. The next prime is 258363073. The reversal of 258363072 is 270363852.

258363072 is a `hidden beast` number, since 2 + 583 + 6 + 3 + 0 + 72 = 666.

258363072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (258363073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 766488 + ... + 766824.

Almost surely, 2^258363072 is an apocalyptic number.

258363072 is a gapful number since it is divisible by the number (22) 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 258363072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408483816).

258363072 is an abundant number, since it is smaller than the sum of its proper divisors (558604560).

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

258363072 is a wasteful number, since it uses less digits than its factorization.

258363072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 258363072 is about 16073.6763685225. The cubic root of 258363072 is about 636.9081602935.

The spelling of 258363072 in words is "two hundred fifty-eight million, three hundred sixty-three thousand, seventy-two".