4808800 has 36 divisors (see below), whose sum is σ = 11741436. Its totient is φ = 1923200.

The previous prime is 4808777. The next prime is 4808803. The reversal of 4808800 is 88084.

It is a happy number.

It is a super-3 number, since 3×4808800³ (a number of 21 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4808803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2206 + ... + 3805.

It is an arithmetic number, because the mean of its divisors is an integer number (326151).

Almost surely, 2^4808800 is an apocalyptic number.

4808800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4808800 is an abundant number, since it is smaller than the sum of its proper divisors (6932636).

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

4808800 is a wasteful number, since it uses less digits than its factorization.

4808800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6031 (or 6018 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 4808800 is about 2192.8976264295. The cubic root of 4808800 is about 168.7895563420.

The spelling of 4808800 in words is "four million, eight hundred eight thousand, eight hundred".