383856400 has 60 divisors (see below), whose sum is σ = 936044752. Its totient is φ = 151240320.

The previous prime is 383856337. The next prime is 383856427. The reversal of 383856400 is 4658383.

It is a self number, because there is not a number n which added to its sum of digits gives 383856400.

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 11 ways as a sum of consecutive naturals, for example, 19639 + ... + 33961.

Almost surely, 2^383856400 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 383856400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468022376).

383856400 is an abundant number, since it is smaller than the sum of its proper divisors (552188352).

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

383856400 is a wasteful number, since it uses less digits than its factorization.

383856400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14408 (or 14397 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 383856400 is about 19592.2535712460. The cubic root of 383856400 is about 726.7576221847.

The spelling of 383856400 in words is "three hundred eighty-three million, eight hundred fifty-six thousand, four hundred".