384645120 has 192 divisors, whose sum is σ = 1297296000. Its totient is φ = 97026048.

The previous prime is 384645119. The next prime is 384645137. The reversal of 384645120 is 21546483.

384645120 = 1965² + 1966² + ... + 2059².

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583351 + ... + 584009.

It is an arithmetic number, because the mean of its divisors is an integer number (6756750).

Almost surely, 2^384645120 is an apocalyptic number.

384645120 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 384645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648648000).

384645120 is an abundant number, since it is smaller than the sum of its proper divisors (912650880).

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

384645120 is a wasteful number, since it uses less digits than its factorization.

384645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 384645120 is about 19612.3716056983. The cubic root of 384645120 is about 727.2550444185.

The spelling of 384645120 in words is "three hundred eighty-four million, six hundred forty-five thousand, one hundred twenty".