396223200 has 216 divisors, whose sum is σ = 1412440848. Its totient is φ = 104509440.

The previous prime is 396223189. The next prime is 396223213. The reversal of 396223200 is 2322693.

396223200 is a `hidden beast` number, since 3 + 9 + 622 + 32 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 813357 + ... + 813843.

It is an arithmetic number, because the mean of its divisors is an integer number (6539078).

Almost surely, 2^396223200 is an apocalyptic number.

396223200 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 396223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706220424).

396223200 is an abundant number, since it is smaller than the sum of its proper divisors (1016217648).

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

396223200 is a wasteful number, since it uses less digits than its factorization.

396223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 396223200 is about 19905.3560631303. The cubic root of 396223200 is about 734.4799875855.

Adding to 396223200 its reverse (2322693), we get a palindrome (398545893).

The spelling of 396223200 in words is "three hundred ninety-six million, two hundred twenty-three thousand, two hundred".