382947840 has 240 divisors, whose sum is σ = 1447782336. Its totient is φ = 92774400.

The previous prime is 382947833. The next prime is 382947841. The reversal of 382947840 is 48749283.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (382947841) 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 23 ways as a sum of consecutive naturals, for example, 252685 + ... + 254195.

Almost surely, 2^382947840 is an apocalyptic number.

382947840 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 382947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723891168).

382947840 is an abundant number, since it is smaller than the sum of its proper divisors (1064834496).

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

382947840 is a wasteful number, since it uses less digits than its factorization.

382947840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 382947840 is about 19569.0531196581. The cubic root of 382947840 is about 726.1837751643.

The spelling of 382947840 in words is "three hundred eighty-two million, nine hundred forty-seven thousand, eight hundred forty".