384265296 has 100 divisors (see below), whose sum is σ = 1116297600. Its totient is φ = 127614528.

The previous prime is 384265249. The next prime is 384265333. The reversal of 384265296 is 692562483.

384265296 is a `hidden beast` number, since 384 + 265 + 2 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 620475 + ... + 621093.

It is an arithmetic number, because the mean of its divisors is an integer number (11162976).

Almost surely, 2^384265296 is an apocalyptic number.

384265296 is a gapful number since it is divisible by the number (36) 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 384265296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558148800).

384265296 is an abundant number, since it is smaller than the sum of its proper divisors (732032304).

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

384265296 is a wasteful number, since it uses less digits than its factorization.

384265296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1103 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 384265296 is about 19602.6859384116. The cubic root of 384265296 is about 727.0155856917.

The spelling of 384265296 in words is "three hundred eighty-four million, two hundred sixty-five thousand, two hundred ninety-six".