382805280 has 432 divisors, whose sum is σ = 1555477560. Its totient is φ = 85662720.

The previous prime is 382805279. The next prime is 382805281. The reversal of 382805280 is 82508283.

It is an interprime number because it is at equal distance from previous prime (382805279) and next prime (382805281).

It can be written as a sum of positive squares in 4 ways, for example, as 6290064 + 376515216 = 2508^2 + 19404^2 .

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

It is not an unprimeable number, because it can be changed into a prime (382805281) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 29446554 + ... + 29446566.

Almost surely, 2^382805280 is an apocalyptic number.

382805280 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 382805280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777738780).

382805280 is an abundant number, since it is smaller than the sum of its proper divisors (1172672280).

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

382805280 is a wasteful number, since it uses less digits than its factorization.

382805280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 382805280 is about 19565.4102947012. The cubic root of 382805280 is about 726.0936518305.

The spelling of 382805280 in words is "three hundred eighty-two million, eight hundred five thousand, two hundred eighty".