384431264 has 36 divisors (see below), whose sum is σ = 880419834. Its totient is φ = 164755584.

The previous prime is 384431263. The next prime is 384431287. The reversal of 384431264 is 462134483.

It can be written as a sum of positive squares in only one way, i.e., 372181264 + 12250000 = 19292^2 + 3500^2 .

It is not an unprimeable number, because it can be changed into a prime (384431263) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 121019 + ... + 124154.

Almost surely, 2^384431264 is an apocalyptic number.

It is an amenable number.

384431264 is an abundant number, since it is smaller than the sum of its proper divisors (495988570).

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

384431264 is a wasteful number, since it uses less digits than its factorization.

384431264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245197 (or 245182 counting only the distinct ones).

The product of its digits is 55296, while the sum is 35.

The square root of 384431264 is about 19606.9187788393. The cubic root of 384431264 is about 727.1202390450.

The spelling of 384431264 in words is "three hundred eighty-four million, four hundred thirty-one thousand, two hundred sixty-four".