381264 has 60 divisors (see below), whose sum is σ = 1089216. Its totient is φ = 114816.

The previous prime is 381253. The next prime is 381287. The reversal of 381264 is 462183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8089 + ... + 8135.

2³⁸¹²⁶⁴ 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 381264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544608).

381264 is an abundant number, since it is smaller than the sum of its proper divisors (707952).

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

381264 is a wasteful number, since it uses less digits than its factorization.

381264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 381264 is about 617.4657885260. The cubic root of 381264 is about 72.5117856385.

The spelling of 381264 in words is "three hundred eighty-one thousand, two hundred sixty-four".