396258336306 has 96 divisors (see below), whose sum is σ = 1017789671808. Its totient is φ = 113190255360.

The previous prime is 396258336301. The next prime is 396258336319. The reversal of 396258336306 is 603633852693.

396258336306 is a `hidden beast` number, since 3 + 9 + 625 + 8 + 3 + 3 + 6 + 3 + 0 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (396258336301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18131946 + ... + 18153786.

It is an arithmetic number, because the mean of its divisors is an integer number (10601975748).

Almost surely, 2^396258336306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396258336306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508894835904).

396258336306 is an abundant number, since it is smaller than the sum of its proper divisors (621531335502).

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

396258336306 is a wasteful number, since it uses less digits than its factorization.

396258336306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27198 (or 27186 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 54.

The spelling of 396258336306 in words is "three hundred ninety-six billion, two hundred fifty-eight million, three hundred thirty-six thousand, three hundred six".