396481800 has 192 divisors, whose sum is σ = 1444282560. Its totient is φ = 88704000.

The previous prime is 396481763. The next prime is 396481807. The reversal of 396481800 is 8184693.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (396481807) 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 47 ways as a sum of consecutive naturals, for example, 83490 + ... + 88110.

It is an arithmetic number, because the mean of its divisors is an integer number (7522305).

Almost surely, 2^396481800 is an apocalyptic number.

396481800 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 396481800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722141280).

396481800 is an abundant number, since it is smaller than the sum of its proper divisors (1047800760).

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

396481800 is a wasteful number, since it uses less digits than its factorization.

396481800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 396481800 is about 19911.8507427110. The cubic root of 396481800 is about 734.6397420020.

The spelling of 396481800 in words is "three hundred ninety-six million, four hundred eighty-one thousand, eight hundred".