396059200 has 84 divisors (see below), whose sum is σ = 1031950692. Its totient is φ = 149094400.

The previous prime is 396059189. The next prime is 396059201. The reversal of 396059200 is 2950693.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 20939776 + 375119424 = 4576^2 + 19368^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (396059201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19920 + ... + 34480.

Almost surely, 2^396059200 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 396059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515975346).

396059200 is an abundant number, since it is smaller than the sum of its proper divisors (635891492).

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

396059200 is a wasteful number, since it uses less digits than its factorization.

396059200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14600 (or 14585 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 34.

The square root of 396059200 is about 19901.2361425113. The cubic root of 396059200 is about 734.3786378573.

The spelling of 396059200 in words is "three hundred ninety-six million, fifty-nine thousand, two hundred".