384252288 has 128 divisors (see below), whose sum is σ = 1174974720. Its totient is φ = 108988416.

The previous prime is 384252269. The next prime is 384252293. The reversal of 384252288 is 882252483.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437706 + ... + 438582.

It is an arithmetic number, because the mean of its divisors is an integer number (9179490).

Almost surely, 2^384252288 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 384252288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587487360).

384252288 is an abundant number, since it is smaller than the sum of its proper divisors (790722432).

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

384252288 is a wasteful number, since it uses less digits than its factorization.

384252288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1052 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 384252288 is about 19602.3541443368. The cubic root of 384252288 is about 727.0073820491.

The spelling of 384252288 in words is "three hundred eighty-four million, two hundred fifty-two thousand, two hundred eighty-eight".