384968264 has 32 divisors (see below), whose sum is σ = 773971200. Its totient is φ = 178863360.

The previous prime is 384968249. The next prime is 384968303. The reversal of 384968264 is 462869483.

It is a happy number.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7172 + ... + 28659.

It is an arithmetic number, because the mean of its divisors is an integer number (24186600).

Almost surely, 2^384968264 is an apocalyptic number.

384968264 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

384968264 is an abundant number, since it is smaller than the sum of its proper divisors (389002936).

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

384968264 is a wasteful number, since it uses less digits than its factorization.

384968264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35933 (or 35929 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 50.

The square root of 384968264 is about 19620.6081455188. The cubic root of 384968264 is about 727.4586453585.

The spelling of 384968264 in words is "three hundred eighty-four million, nine hundred sixty-eight thousand, two hundred sixty-four".