383264 has 48 divisors (see below), whose sum is σ = 907200. Its totient is φ = 155904.

The previous prime is 383261. The next prime is 383267. The reversal of 383264 is 462383.

It is an interprime number because it is at equal distance from previous prime (383261) and next prime (383267).

It is not an unprimeable number, because it can be changed into a prime (383261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6467 + ... + 6525.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2³⁸³²⁶⁴ 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 383264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453600).

383264 is an abundant number, since it is smaller than the sum of its proper divisors (523936).

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

383264 is a wasteful number, since it uses less digits than its factorization.

383264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 97 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The square root of 383264 is about 619.0831931170. The cubic root of 383264 is about 72.6383564870.

The spelling of 383264 in words is "three hundred eighty-three thousand, two hundred sixty-four".