1382165280 has 288 divisors, whose sum is σ = 5043886848. Its totient is φ = 343449600.

The previous prime is 1382165261. The next prime is 1382165293. The reversal of 1382165280 is 825612831.

It is a happy number.

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

It is a super-2 number, since 2×1382165280² = 3820761722474956800, which contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 3206665 + ... + 3207095.

It is an arithmetic number, because the mean of its divisors is an integer number (17513496).

Almost surely, 2^1382165280 is an apocalyptic number.

1382165280 is a gapful number since it is divisible by the number (10) 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 1382165280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521943424).

1382165280 is an abundant number, since it is smaller than the sum of its proper divisors (3661721568).

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

1382165280 is a wasteful number, since it uses less digits than its factorization.

1382165280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1382165280 is about 37177.4835081666. The cubic root of 1382165280 is about 1113.9182682501.

The spelling of 1382165280 in words is "one billion, three hundred eighty-two million, one hundred sixty-five thousand, two hundred eighty".