384473088 has 192 divisors, whose sum is σ = 1208844000. Its totient is φ = 120324096.

The previous prime is 384473081. The next prime is 384473093. The reversal of 384473088 is 880374483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384473081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 939828 + ... + 940236.

Almost surely, 2^384473088 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 384473088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604422000).

384473088 is an abundant number, since it is smaller than the sum of its proper divisors (824370912).

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

384473088 is a wasteful number, since it uses less digits than its factorization.

384473088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 384473088 is about 19607.9853121120. The cubic root of 384473088 is about 727.1466069785.

The spelling of 384473088 in words is "three hundred eighty-four million, four hundred seventy-three thousand, eighty-eight".