4814304000 has 576 divisors, whose sum is σ = 17999235072. Its totient is φ = 1130496000.

The previous prime is 4814303983. The next prime is 4814304013. The reversal of 4814304000 is 4034184.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49631952 + ... + 49632048.

It is an arithmetic number, because the mean of its divisors is an integer number (31248672).

Almost surely, 2^4814304000 is an apocalyptic number.

4814304000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4814304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8999617536).

4814304000 is an abundant number, since it is smaller than the sum of its proper divisors (13184931072).

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

4814304000 is a wasteful number, since it uses less digits than its factorization.

4814304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4814304000 is about 69385.1857387440. The cubic root of 4814304000 is about 1688.5392884666.

Adding to 4814304000 its reverse (4034184), we get a palindrome (4818338184).

The spelling of 4814304000 in words is "four billion, eight hundred fourteen million, three hundred four thousand".