382014144 has 140 divisors (see below), whose sum is σ = 1152525000. Its totient is φ = 125079552.

The previous prime is 382014121. The next prime is 382014173. The reversal of 382014144 is 441410283.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 305232 + ... + 306480.

Almost surely, 2^382014144 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 382014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576262500).

382014144 is an abundant number, since it is smaller than the sum of its proper divisors (770510856).

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

382014144 is a wasteful number, since it uses less digits than its factorization.

382014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 382014144 is about 19545.1821173403. The cubic root of 382014144 is about 725.5931057832.

The spelling of 382014144 in words is "three hundred eighty-two million, fourteen thousand, one hundred forty-four".