382563720 has 384 divisors, whose sum is σ = 1596291840. Its totient is φ = 77137920.

The previous prime is 382563707. The next prime is 382563721. The reversal of 382563720 is 27365283.

382563720 is a `hidden beast` number, since 38 + 256 + 372 + 0 = 666.

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 (382563721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1025454 + ... + 1025826.

It is an arithmetic number, because the mean of its divisors is an integer number (4157010).

Almost surely, 2^382563720 is an apocalyptic number.

382563720 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 382563720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798145920).

382563720 is an abundant number, since it is smaller than the sum of its proper divisors (1213728120).

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

382563720 is a wasteful number, since it uses less digits than its factorization.

382563720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 382563720 is about 19559.2361814054. The cubic root of 382563720 is about 725.9408917568.

The spelling of 382563720 in words is "three hundred eighty-two million, five hundred sixty-three thousand, seven hundred twenty".