382853952 has 420 divisors, whose sum is σ = 1349837280. Its totient is φ = 106748928.

The previous prime is 382853921. The next prime is 382853953. The reversal of 382853952 is 259358283.

Its product of digits (518400) is a multiple of the sum of its prime divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 382853898 and 382853907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382853953) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 16645813 + ... + 16645835.

Almost surely, 2^382853952 is an apocalyptic number.

382853952 is a gapful number since it is divisible by the number (32) 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 382853952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674918640).

382853952 is an abundant number, since it is smaller than the sum of its proper divisors (966983328).

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

382853952 is a wasteful number, since it uses less digits than its factorization.

382853952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 60 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 382853952 is about 19566.6540829034. The cubic root of 382853952 is about 726.1244237263.

The spelling of 382853952 in words is "three hundred eighty-two million, eight hundred fifty-three thousand, nine hundred fifty-two".