382191264 has 192 divisors, whose sum is σ = 1372250880. Its totient is φ = 100776960.

The previous prime is 382191259. The next prime is 382191287. The reversal of 382191264 is 462191283.

382191264 is a `hidden beast` number, since 382 + 19 + 1 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76194 + ... + 81054.

It is an arithmetic number, because the mean of its divisors is an integer number (7147140).

Almost surely, 2^382191264 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 382191264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686125440).

382191264 is an abundant number, since it is smaller than the sum of its proper divisors (990059616).

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

382191264 is a wasteful number, since it uses less digits than its factorization.

382191264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4900 (or 4886 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 382191264 is about 19549.7126321591. The cubic root of 382191264 is about 725.7052283279.

The spelling of 382191264 in words is "three hundred eighty-two million, one hundred ninety-one thousand, two hundred sixty-four".