382164444 has 36 divisors (see below), whose sum is σ = 989592240. Its totient is φ = 124280640.

The previous prime is 382164413. The next prime is 382164457. The reversal of 382164444 is 444461283.

382164444 is a `hidden beast` number, since 3 + 8 + 2 + 1 + 644 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 382164399 and 382164408.

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, 127984 + ... + 130935.

Almost surely, 2^382164444 is an apocalyptic number.

It is an amenable number.

382164444 is an abundant number, since it is smaller than the sum of its proper divisors (607427796).

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

382164444 is a wasteful number, since it uses less digits than its factorization.

382164444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258970 (or 258965 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 382164444 is about 19549.0266765381. The cubic root of 382164444 is about 725.6882526481.

It can be divided in two parts, 3821 and 64444, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 382164444 in words is "three hundred eighty-two million, one hundred sixty-four thousand, four hundred forty-four".