382838400 has 480 divisors, whose sum is σ = 1622232480. Its totient is φ = 87091200.

The previous prime is 382838383. The next prime is 382838441. The reversal of 382838400 is 4838283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1814295 + ... + 1814505.

It is an arithmetic number, because the mean of its divisors is an integer number (3379651).

Almost surely, 2^382838400 is an apocalyptic number.

382838400 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 382838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811116240).

382838400 is an abundant number, since it is smaller than the sum of its proper divisors (1239394080).

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

382838400 is a wasteful number, since it uses less digits than its factorization.

382838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 382838400 is about 19566.2566680497. The cubic root of 382838400 is about 726.1145915698.

The spelling of 382838400 in words is "three hundred eighty-two million, eight hundred thirty-eight thousand, four hundred".