4808400 has 60 divisors (see below), whose sum is σ = 15406752. Its totient is φ = 1281920.

The previous prime is 4808393. The next prime is 4808417. The reversal of 4808400 is 48084.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×4808400³ (a number of 21 digits) contains 333 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 804 + ... + 3203.

Almost surely, 2^4808400 is an apocalyptic number.

4808400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4808400 is an abundant number, since it is smaller than the sum of its proper divisors (10598352).

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

4808400 is a wasteful number, since it uses less digits than its factorization.

4808400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4028 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 4808400 is about 2192.8064210048. The cubic root of 4808400 is about 168.7848761934.

Multiplying 4808400 by its reverse (48084), we get a square (231207105600 = 480840²).

4808400 divided by its reverse (48084) gives a square (100 = 10²).

The spelling of 4808400 in words is "four million, eight hundred eight thousand, four hundred".