396242300160 has 432 divisors, whose sum is σ = 1575920271744. Its totient is φ = 90042974208.

The previous prime is 396242300147. The next prime is 396242300161. The reversal of 396242300160 is 61003242693.

396242300160 is a `hidden beast` number, since 3 + 9 + 624 + 23 + 0 + 0 + 1 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396242300161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13936519 + ... + 13964921.

It is an arithmetic number, because the mean of its divisors is an integer number (3647963592).

Almost surely, 2^396242300160 is an apocalyptic number.

396242300160 is a gapful number since it is divisible by the number (30) 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 396242300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787960135872).

396242300160 is an abundant number, since it is smaller than the sum of its proper divisors (1179677971584).

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

396242300160 is a wasteful number, since it uses less digits than its factorization.

396242300160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28610 (or 28593 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 396242300160 in words is "three hundred ninety-six billion, two hundred forty-two million, three hundred thousand, one hundred sixty".