383814144 has 240 divisors, whose sum is σ = 1291173312. Its totient is φ = 107495424.

The previous prime is 383814113. The next prime is 383814157. The reversal of 383814144 is 441418383.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 383814099 and 383814108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2354607 + ... + 2354769.

Almost surely, 2^383814144 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 383814144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645586656).

383814144 is an abundant number, since it is smaller than the sum of its proper divisors (907359168).

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

383814144 is a wasteful number, since it uses less digits than its factorization.

383814144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 248 counting only the distinct ones).

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

The square root of 383814144 is about 19591.1751561768. The cubic root of 383814144 is about 726.7309533601.

The spelling of 383814144 in words is "three hundred eighty-three million, eight hundred fourteen thousand, one hundred forty-four".