382776240 has 360 divisors, whose sum is σ = 1522871280. Its totient is φ = 79242240.

The previous prime is 382776221. The next prime is 382776241. The reversal of 382776240 is 42677283.

It is not an unprimeable number, because it can be changed into a prime (382776241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1422826 + ... + 1423094.

It is an arithmetic number, because the mean of its divisors is an integer number (4230198).

Almost surely, 2^382776240 is an apocalyptic number.

382776240 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 382776240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761435640).

382776240 is an abundant number, since it is smaller than the sum of its proper divisors (1140095040).

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

382776240 is a wasteful number, since it uses less digits than its factorization.

382776240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 382776240 is about 19564.6681546097. The cubic root of 382776240 is about 726.0752906306.

The spelling of 382776240 in words is "three hundred eighty-two million, seven hundred seventy-six thousand, two hundred forty".