384215760 has 60 divisors (see below), whose sum is σ = 1290327012. Its totient is φ = 102457344.

The previous prime is 384215753. The next prime is 384215773. The reversal of 384215760 is 67512483.

384215760 is a `hidden beast` number, since 3 + 84 + 2 + 1 + 576 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71774784 + 312440976 = 8472^2 + 17676^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 266097 + ... + 267536.

Almost surely, 2^384215760 is an apocalyptic number.

384215760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384215760 is an abundant number, since it is smaller than the sum of its proper divisors (906111252).

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

384215760 is a wasteful number, since it uses less digits than its factorization.

384215760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533652 (or 533643 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 384215760 is about 19601.4223973670. The cubic root of 384215760 is about 726.9843442621.

The spelling of 384215760 in words is "three hundred eighty-four million, two hundred fifteen thousand, seven hundred sixty".