384520608 has 120 divisors (see below), whose sum is σ = 1142077860. Its totient is φ = 126904320.

The previous prime is 384520607. The next prime is 384520667. The reversal of 384520608 is 806025483.

384520608 is a `hidden beast` number, since 3 + 8 + 45 + 2 + 0 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 382124304 + 2396304 = 19548^2 + 1548^2 .

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

It is not an unprimeable number, because it can be changed into a prime (384520607) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 281848 + ... + 283208.

Almost surely, 2^384520608 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 384520608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571038930).

384520608 is an abundant number, since it is smaller than the sum of its proper divisors (757557252).

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

384520608 is a wasteful number, since it uses less digits than its factorization.

384520608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 384520608 is about 19609.1970258856. The cubic root of 384520608 is about 727.1765636338.

The spelling of 384520608 in words is "three hundred eighty-four million, five hundred twenty thousand, six hundred eight".