4804840800 has 216 divisors, whose sum is σ = 17068516920. Its totient is φ = 1271808000.

The previous prime is 4804840771. The next prime is 4804840819. The reversal of 4804840800 is 80484084.

It is a super-2 number, since 2×4804840800² = 46172990226689280000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 998400 + ... + 1003200.

Almost surely, 2^4804840800 is an apocalyptic number.

4804840800 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 4804840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8534258460).

4804840800 is an abundant number, since it is smaller than the sum of its proper divisors (12263676120).

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

4804840800 is a wasteful number, since it uses less digits than its factorization.

4804840800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966 (or 4950 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 4804840800 is about 69316.9589638784. The cubic root of 4804840800 is about 1687.4322079762.

The spelling of 4804840800 in words is "four billion, eight hundred four million, eight hundred forty thousand, eight hundred".