384656160 has 192 divisors, whose sum is σ = 1393459200. Its totient is φ = 87370752.

The previous prime is 384656101. The next prime is 384656183. The reversal of 384656160 is 61656483.

384656160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×384656160² = 295920722851891200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802801 + ... + 803279.

It is an arithmetic number, because the mean of its divisors is an integer number (7257600).

Almost surely, 2^384656160 is an apocalyptic number.

384656160 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 384656160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696729600).

384656160 is an abundant number, since it is smaller than the sum of its proper divisors (1008803040).

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

384656160 is a wasteful number, since it uses less digits than its factorization.

384656160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 384656160 is about 19612.6530586762. The cubic root of 384656160 is about 727.2620021903.

It can be divided in two parts, 3846 and 56160, that added together give a palindrome (60006).

The spelling of 384656160 in words is "three hundred eighty-four million, six hundred fifty-six thousand, one hundred sixty".