383644400 has 60 divisors (see below), whose sum is σ = 923736264. Its totient is φ = 153120000.

The previous prime is 383644381. The next prime is 383644403. The reversal of 383644400 is 4446383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383644403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 263675 + ... + 265125.

Almost surely, 2^383644400 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 383644400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461868132).

383644400 is an abundant number, since it is smaller than the sum of its proper divisors (540091864).

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

383644400 is a wasteful number, since it uses less digits than its factorization.

383644400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 383644400 is about 19586.8425224690. The cubic root of 383644400 is about 726.6238039228.

The spelling of 383644400 in words is "three hundred eighty-three million, six hundred forty-four thousand, four hundred".