396378800 has 120 divisors (see below), whose sum is σ = 1023764832. Its totient is φ = 146944000.

The previous prime is 396378799. The next prime is 396378809. The reversal of 396378800 is 8873693.

It is not an unprimeable number, because it can be changed into a prime (396378809) 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 23 ways as a sum of consecutive naturals, for example, 482390 + ... + 483210.

Almost surely, 2^396378800 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 396378800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511882416).

396378800 is an abundant number, since it is smaller than the sum of its proper divisors (627386032).

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

396378800 is a wasteful number, since it uses less digits than its factorization.

396378800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 396378800 is about 19909.2641752527. The cubic root of 396378800 is about 734.5761203789.

The spelling of 396378800 in words is "three hundred ninety-six million, three hundred seventy-eight thousand, eight hundred".