384633264 has 80 divisors (see below), whose sum is σ = 1082073600. Its totient is φ = 117266688.

The previous prime is 384633257. The next prime is 384633269. The reversal of 384633264 is 462336483.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (384633269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19177 + ... + 33719.

It is an arithmetic number, because the mean of its divisors is an integer number (13525920).

Almost surely, 2^384633264 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 384633264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541036800).

384633264 is an abundant number, since it is smaller than the sum of its proper divisors (697440336).

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

384633264 is a wasteful number, since it uses less digits than its factorization.

384633264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14602 (or 14596 counting only the distinct ones).

The product of its digits is 248832, while the sum is 39.

The square root of 384633264 is about 19612.0693451762. The cubic root of 384633264 is about 727.2475722284.

The spelling of 384633264 in words is "three hundred eighty-four million, six hundred thirty-three thousand, two hundred sixty-four".