384450288 has 80 divisors (see below), whose sum is σ = 1015280256. Its totient is φ = 125326080.

The previous prime is 384450277. The next prime is 384450301. The reversal of 384450288 is 882054483.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556023 + ... + 556713.

Almost surely, 2^384450288 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 384450288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507640128).

384450288 is an abundant number, since it is smaller than the sum of its proper divisors (630829968).

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

384450288 is a wasteful number, since it uses less digits than its factorization.

384450288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 936 counting only the distinct ones).

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

The square root of 384450288 is about 19607.4039077079. The cubic root of 384450288 is about 727.1322329596.

The spelling of 384450288 in words is "three hundred eighty-four million, four hundred fifty thousand, two hundred eighty-eight".