384264 has 40 divisors (see below), whose sum is σ = 1078110. Its totient is φ = 127872.

The previous prime is 384259. The next prime is 384277. The reversal of 384264 is 462483.

It can be written as a sum of positive squares in only one way, i.e., 311364 + 72900 = 558^2 + 270^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

384264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 352 + ... + 944.

2³⁸⁴²⁶⁴ 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 384264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539055).

384264 is an abundant number, since it is smaller than the sum of its proper divisors (693846).

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

384264 is a wasteful number, since it uses less digits than its factorization.

384264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 598 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 384264 is about 619.8903128780. The cubic root of 384264 is about 72.7014768363.

The spelling of 384264 in words is "three hundred eighty-four thousand, two hundred sixty-four".