383852664 has 96 divisors (see below), whose sum is σ = 1155772800. Its totient is φ = 114289920.

The previous prime is 383852647. The next prime is 383852669. The reversal of 383852664 is 466258383.

It is a happy number.

383852664 is a `hidden beast` number, since 3 + 8 + 385 + 266 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383852669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22402 + ... + 35630.

It is an arithmetic number, because the mean of its divisors is an integer number (12039300).

Almost surely, 2^383852664 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 383852664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577886400).

383852664 is an abundant number, since it is smaller than the sum of its proper divisors (771920136).

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

383852664 is a wasteful number, since it uses less digits than its factorization.

383852664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13285 (or 13278 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 383852664 is about 19592.1582272092. The cubic root of 383852664 is about 726.7552643800.

The spelling of 383852664 in words is "three hundred eighty-three million, eight hundred fifty-two thousand, six hundred sixty-four".