382853120 has 112 divisors (see below), whose sum is σ = 990843840. Its totient is φ = 141164544.

The previous prime is 382853113. The next prime is 382853137. The reversal of 382853120 is 21358283.

It is a super-2 number, since 2×382853120² = 293153022987468800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 532121 + ... + 532839.

It is an arithmetic number, because the mean of its divisors is an integer number (8846820).

Almost surely, 2^382853120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495421920).

382853120 is an abundant number, since it is smaller than the sum of its proper divisors (607990720).

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

382853120 is an equidigital number, since it uses as much as digits as its factorization.

382853120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 382853120 is about 19566.6328222308. The cubic root of 382853120 is about 726.1238977329.

The spelling of 382853120 in words is "three hundred eighty-two million, eight hundred fifty-three thousand, one hundred twenty".