382047120 has 600 divisors, whose sum is σ = 1706750136. Its totient is φ = 75866112.

The previous prime is 382047119. The next prime is 382047139. The reversal of 382047120 is 21740283.

It can be written as a sum of positive squares in 4 ways, for example, as 28005264 + 354041856 = 5292^2 + 18816^2 .

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 119 ways as a sum of consecutive naturals, for example, 22473352 + ... + 22473368.

Almost surely, 2^382047120 is an apocalyptic number.

382047120 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 382047120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853375068).

382047120 is an abundant number, since it is smaller than the sum of its proper divisors (1324703016).

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

382047120 is a wasteful number, since it uses less digits than its factorization.

382047120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 382047120 is about 19546.0256829873. The cubic root of 382047120 is about 725.6139832561.

The spelling of 382047120 in words is "three hundred eighty-two million, forty-seven thousand, one hundred twenty".