383666472 has 144 divisors (see below), whose sum is σ = 1280047860. Its totient is φ = 103154688.

The previous prime is 383666453. The next prime is 383666477. The reversal of 383666472 is 274666383.

It can be written as a sum of positive squares in 2 ways, for example, as 368409636 + 15256836 = 19194^2 + 3906^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (383666477) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56778 + ... + 63174.

Almost surely, 2^383666472 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 383666472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640023930).

383666472 is an abundant number, since it is smaller than the sum of its proper divisors (896381388).

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

383666472 is a wasteful number, since it uses less digits than its factorization.

383666472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6440 (or 6426 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 383666472 is about 19587.4059538266. The cubic root of 383666472 is about 726.6377384700.

The spelling of 383666472 in words is "three hundred eighty-three million, six hundred sixty-six thousand, four hundred seventy-two".