396627200 has 108 divisors (see below), whose sum is σ = 1016041740. Its totient is φ = 153108480.

The previous prime is 396627191. The next prime is 396627211. The reversal of 396627200 is 2726693.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 64513024 + 332114176 = 8032^2 + 18224^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184532 + ... + 186668.

Almost surely, 2^396627200 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 396627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508020870).

396627200 is an abundant number, since it is smaller than the sum of its proper divisors (619414540).

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

396627200 is a wasteful number, since it uses less digits than its factorization.

396627200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 396627200 is about 19915.5015000878. The cubic root of 396627200 is about 734.7295347437.

The spelling of 396627200 in words is "three hundred ninety-six million, six hundred twenty-seven thousand, two hundred".