396368272 has 80 divisors (see below), whose sum is σ = 839678400. Its totient is φ = 180610560.

The previous prime is 396368257. The next prime is 396368293. The reversal of 396368272 is 272863693.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1473354 + ... + 1473622.

It is an arithmetic number, because the mean of its divisors is an integer number (10495980).

Almost surely, 2^396368272 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 396368272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419839200).

396368272 is an abundant number, since it is smaller than the sum of its proper divisors (443310128).

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

396368272 is a wasteful number, since it uses less digits than its factorization.

396368272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 458 counting only the distinct ones).

The product of its digits is 653184, while the sum is 46.

The square root of 396368272 is about 19908.9997739716. Note that the first 3 decimals coincide. The cubic root of 396368272 is about 734.5696167635.

The spelling of 396368272 in words is "three hundred ninety-six million, three hundred sixty-eight thousand, two hundred seventy-two".