4804456384 has 336 divisors, whose sum is σ = 12851343360. Its totient is φ = 1739612160.

The previous prime is 4804456379. The next prime is 4804456427. The reversal of 4804456384 is 4836544084.

It is a happy number.

It is a super-2 number, since 2×4804456384² = 46165602291516710912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

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 47 ways as a sum of consecutive naturals, for example, 53982612 + ... + 53982700.

Almost surely, 2^4804456384 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 4804456384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6425671680).

4804456384 is an abundant number, since it is smaller than the sum of its proper divisors (8046886976).

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

4804456384 is a wasteful number, since it uses less digits than its factorization.

4804456384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 46.

The square root of 4804456384 is about 69314.1860227760. The cubic root of 4804456384 is about 1687.3872052198.

The spelling of 4804456384 in words is "four billion, eight hundred four million, four hundred fifty-six thousand, three hundred eighty-four".