383820400 has 60 divisors (see below), whose sum is σ = 924282112. Its totient is φ = 153169920.

The previous prime is 383820397. The next prime is 383820401. The reversal of 383820400 is 4028383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383820401) 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, 229969 + ... + 231631.

Almost surely, 2^383820400 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 383820400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462141056).

383820400 is an abundant number, since it is smaller than the sum of its proper divisors (540461712).

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

383820400 is a wasteful number, since it uses less digits than its factorization.

383820400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 383820400 is about 19591.3348192511. The cubic root of 383820400 is about 726.7349018025.

Adding to 383820400 its reverse (4028383), we get a palindrome (387848783).

The spelling of 383820400 in words is "three hundred eighty-three million, eight hundred twenty thousand, four hundred".