383832960 has 128 divisors (see below), whose sum is σ = 1398297600. Its totient is φ = 87730176.

The previous prime is 383832949. The next prime is 383832997. The reversal of 383832960 is 69238383.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 840 + ... + 27719.

It is an arithmetic number, because the mean of its divisors is an integer number (10924200).

Almost surely, 2^383832960 is an apocalyptic number.

383832960 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 383832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699148800).

383832960 is an abundant number, since it is smaller than the sum of its proper divisors (1014464640).

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

383832960 is a wasteful number, since it uses less digits than its factorization.

383832960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28588 (or 28576 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 383832960 is about 19591.6553665074. The cubic root of 383832960 is about 726.7428288528.

The spelling of 383832960 in words is "three hundred eighty-three million, eight hundred thirty-two thousand, nine hundred sixty".