382851360 has 288 divisors, whose sum is σ = 1392431040. Its totient is φ = 99283968.

The previous prime is 382851319. The next prime is 382851377. The reversal of 382851360 is 63158283.

382851360 is a `hidden beast` number, since 3 + 82 + 8 + 513 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1671726 + ... + 1671954.

It is an arithmetic number, because the mean of its divisors is an integer number (4834830).

Almost surely, 2^382851360 is an apocalyptic number.

382851360 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 382851360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696215520).

382851360 is an abundant number, since it is smaller than the sum of its proper divisors (1009579680).

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

382851360 is a wasteful number, since it uses less digits than its factorization.

382851360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 382851360 is about 19566.5878476550. The cubic root of 382851360 is about 726.1227850520.

The spelling of 382851360 in words is "three hundred eighty-two million, eight hundred fifty-one thousand, three hundred sixty".