384527520 has 384 divisors, whose sum is σ = 1493614080. Its totient is φ = 91791360.

The previous prime is 384527477. The next prime is 384527527. The reversal of 384527520 is 25725483.

384527520 is a `hidden beast` number, since 3 + 84 + 52 + 7 + 520 = 666.

It is a super-2 number, since 2×384527520² = 295722827274700800, which contains 22 as substring.

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 (384527527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2302477 + ... + 2302643.

It is an arithmetic number, because the mean of its divisors is an integer number (3889620).

Almost surely, 2^384527520 is an apocalyptic number.

384527520 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 384527520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746807040).

384527520 is an abundant number, since it is smaller than the sum of its proper divisors (1109086560).

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

384527520 is a wasteful number, since it uses less digits than its factorization.

384527520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 384527520 is about 19609.3732689242. The cubic root of 384527520 is about 727.1809207599.

The spelling of 384527520 in words is "three hundred eighty-four million, five hundred twenty-seven thousand, five hundred twenty".