396083200 has 90 divisors (see below), whose sum is σ = 983272136. Its totient is φ = 158269440.

The previous prime is 396083183. The next prime is 396083201. The reversal of 396083200 is 2380693.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396083201) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 409117 + ... + 410083.

Almost surely, 2^396083200 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 396083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491636068).

396083200 is an abundant number, since it is smaller than the sum of its proper divisors (587188936).

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

396083200 is an frugal number, since it uses more digits than its factorization.

396083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 396083200 is about 19901.8391109968. The cubic root of 396083200 is about 734.3934712722.

The spelling of 396083200 in words is "three hundred ninety-six million, eighty-three thousand, two hundred".