382014432 has 72 divisors (see below), whose sum is σ = 1090613160. Its totient is φ = 126839040.

The previous prime is 382014427. The next prime is 382014473. The reversal of 382014432 is 234410283.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 382014396 and 382014405.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 75007 + ... + 79937.

It is an arithmetic number, because the mean of its divisors is an integer number (15147405).

Almost surely, 2^382014432 is an apocalyptic number.

382014432 is a gapful number since it is divisible by the number (32) 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 382014432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545306580).

382014432 is an abundant number, since it is smaller than the sum of its proper divisors (708598728).

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

382014432 is a wasteful number, since it uses less digits than its factorization.

382014432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5216 (or 5205 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 382014432 is about 19545.1894848835. The cubic root of 382014432 is about 725.5932881244.

The spelling of 382014432 in words is "three hundred eighty-two million, fourteen thousand, four hundred thirty-two".