396404800 has 168 divisors, whose sum is σ = 1079430912. Its totient is φ = 142080000.

The previous prime is 396404777. The next prime is 396404807. The reversal of 396404800 is 8404693.

It is not an unprimeable number, because it can be changed into a prime (396404807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1777489 + ... + 1777711.

It is an arithmetic number, because the mean of its divisors is an integer number (6425184).

Almost surely, 2^396404800 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 396404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539715456).

396404800 is an abundant number, since it is smaller than the sum of its proper divisors (683026112).

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

396404800 is a wasteful number, since it uses less digits than its factorization.

396404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 396404800 is about 19909.9171268993. The cubic root of 396404800 is about 734.5921812459.

The spelling of 396404800 in words is "three hundred ninety-six million, four hundred four thousand, eight hundred".