384975752 has 36 divisors (see below), whose sum is σ = 840527415. Its totient is φ = 164823120.

The previous prime is 384975733. The next prime is 384975803. The reversal of 384975752 is 257579483.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 192487876 + 192487876 = 13874^2 + 13874^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=13874.

It is a self number, because there is not a number n which added to its sum of digits gives 384975752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 387977 + ... + 388967.

Almost surely, 2^384975752 is an apocalyptic number.

It is an amenable number.

384975752 is an abundant number, since it is smaller than the sum of its proper divisors (455551663).

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

384975752 is an frugal number, since it uses more digits than its factorization.

384975752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1000 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 50.

The square root of 384975752 is about 19620.7989643643. The cubic root of 384975752 is about 727.4633619161.

Multiplying 384975752 by its sum of digits (50), we get a square (19248787600 = 138740²).

The spelling of 384975752 in words is "three hundred eighty-four million, nine hundred seventy-five thousand, seven hundred fifty-two".