382748160 has 320 divisors, whose sum is σ = 1339557120. Its totient is φ = 92897280.

The previous prime is 382748137. The next prime is 382748167. The reversal of 382748160 is 61847283.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382748167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6274530 + ... + 6274590.

It is an arithmetic number, because the mean of its divisors is an integer number (4186116).

Almost surely, 2^382748160 is an apocalyptic number.

382748160 is a gapful number since it is divisible by the number (30) 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 382748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669778560).

382748160 is an abundant number, since it is smaller than the sum of its proper divisors (956808960).

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

382748160 is a wasteful number, since it uses less digits than its factorization.

382748160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 382748160 is about 19563.9505213032. The cubic root of 382748160 is about 726.0575355293.

The spelling of 382748160 in words is "three hundred eighty-two million, seven hundred forty-eight thousand, one hundred sixty".