384563052 has 162 divisors, whose sum is σ = 1100606052. Its totient is φ = 117386496.

The previous prime is 384563033. The next prime is 384563077. The reversal of 384563052 is 250365483.

It is a happy number.

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.

384563052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (162).

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

It is a junction number, because it is equal to n+sod(n) for n = 384562998 and 384563016.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10393578 + ... + 10393614.

Almost surely, 2^384563052 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 384563052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550303026).

384563052 is an abundant number, since it is smaller than the sum of its proper divisors (716043000).

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

384563052 is a wasteful number, since it uses less digits than its factorization.

384563052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 384563052 is about 19610.2792432948. The cubic root of 384563052 is about 727.2033182870.

The spelling of 384563052 in words is "three hundred eighty-four million, five hundred sixty-three thousand, fifty-two".