382352256 has 288 divisors, whose sum is σ = 1308576360. Its totient is φ = 106444800.

The previous prime is 382352251. The next prime is 382352261. The reversal of 382352256 is 652253283.

382352256 is a `hidden beast` number, since 3 + 82 + 3 + 522 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (382352251) and next prime (382352261).

It is a tau number, because it is divible by the number of its divisors (288).

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

Its product of digits (86400) is a multiple of the sum of its prime divisors (240).

It is a self number, because there is not a number n which added to its sum of digits gives 382352256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382352251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1811991 + ... + 1812201.

Almost surely, 2^382352256 is an apocalyptic number.

382352256 is a gapful number since it is divisible by the number (36) 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 382352256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654288180).

382352256 is an abundant number, since it is smaller than the sum of its proper divisors (926224104).

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

382352256 is a wasteful number, since it uses less digits than its factorization.

382352256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 240 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 382352256 is about 19553.8297016211. The cubic root of 382352256 is about 725.8071112910.

The spelling of 382352256 in words is "three hundred eighty-two million, three hundred fifty-two thousand, two hundred fifty-six".