384208272 has 240 divisors, whose sum is σ = 1343247360. Its totient is φ = 103856256.

The previous prime is 384208247. The next prime is 384208273. The reversal of 384208272 is 272802483.

384208272 is a `hidden beast` number, since 384 + 2 + 0 + 8 + 272 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384208273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 516733 + ... + 517475.

It is an arithmetic number, because the mean of its divisors is an integer number (5596864).

Almost surely, 2^384208272 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 384208272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671623680).

384208272 is an abundant number, since it is smaller than the sum of its proper divisors (959039088).

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

384208272 is a wasteful number, since it uses less digits than its factorization.

384208272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 384208272 is about 19601.2313898898. The cubic root of 384208272 is about 726.9796214867.

The spelling of 384208272 in words is "three hundred eighty-four million, two hundred eight thousand, two hundred seventy-two".