384046272 has 140 divisors (see below), whose sum is σ = 1188299376. Its totient is φ = 122411520.

The previous prime is 384046213. The next prime is 384046283. The reversal of 384046272 is 272640483.

384046272 is a `hidden beast` number, since 384 + 0 + 4 + 6 + 272 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 117622 + ... + 120842.

Almost surely, 2^384046272 is an apocalyptic number.

384046272 is a gapful number since it is divisible by the number (32) 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 384046272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594149688).

384046272 is an abundant number, since it is smaller than the sum of its proper divisors (804253104).

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

384046272 is a wasteful number, since it uses less digits than its factorization.

384046272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 384046272 is about 19597.0985607564. The cubic root of 384046272 is about 726.8774310311.

The spelling of 384046272 in words is "three hundred eighty-four million, forty-six thousand, two hundred seventy-two".