384114560 has 64 divisors (see below), whose sum is σ = 933422400. Its totient is φ = 151111680.

The previous prime is 384114557. The next prime is 384114581. The reversal of 384114560 is 65411483.

It is a tau number, because it is divible by the number of its divisors (64).

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, 34121 + ... + 43959.

It is an arithmetic number, because the mean of its divisors is an integer number (14584725).

Almost surely, 2^384114560 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 384114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466711200).

384114560 is an abundant number, since it is smaller than the sum of its proper divisors (549307840).

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

384114560 is an equidigital number, since it uses as much as digits as its factorization.

384114560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9919 (or 9907 counting only the distinct ones).

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

The square root of 384114560 is about 19598.8407820463. The cubic root of 384114560 is about 726.9205109652.

The spelling of 384114560 in words is "three hundred eighty-four million, one hundred fourteen thousand, five hundred sixty".