396556800 has 240 divisors, whose sum is σ = 1370001600. Its totient is φ = 100925440.

The previous prime is 396556799. The next prime is 396556829. The reversal of 396556800 is 8655693.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 882976 + ... + 883424.

It is an arithmetic number, because the mean of its divisors is an integer number (5708340).

Almost surely, 2^396556800 is an apocalyptic number.

396556800 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 396556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685000800).

396556800 is an abundant number, since it is smaller than the sum of its proper divisors (973444800).

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

396556800 is a wasteful number, since it uses less digits than its factorization.

396556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 396556800 is about 19913.7339542337. The cubic root of 396556800 is about 734.6860614941.

The spelling of 396556800 in words is "three hundred ninety-six million, five hundred fifty-six thousand, eight hundred".