382299264 has 224 divisors, whose sum is σ = 1214082540. Its totient is φ = 119439360.

The previous prime is 382299221. The next prime is 382299271. The reversal of 382299264 is 462992283.

382299264 is a `hidden beast` number, since 382 + 2 + 9 + 9 + 264 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 353139264 + 29160000 = 18792^2 + 5400^2 .

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.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1586184 + ... + 1586424.

Almost surely, 2^382299264 is an apocalyptic number.

382299264 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382299264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607041270).

382299264 is an abundant number, since it is smaller than the sum of its proper divisors (831783276).

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

382299264 is an equidigital number, since it uses as much as digits as its factorization.

382299264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 263 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 382299264 is about 19552.4746259904. The cubic root of 382299264 is about 725.7735787331.

The spelling of 382299264 in words is "three hundred eighty-two million, two hundred ninety-nine thousand, two hundred sixty-four".