4968800 has 36 divisors (see below), whose sum is σ = 12132036. Its totient is φ = 1987200.

The previous prime is 4968797. The next prime is 4968809. The reversal of 4968800 is 88694.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4968809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2306 + ... + 3905.

It is an arithmetic number, because the mean of its divisors is an integer number (337001).

Almost surely, 2^4968800 is an apocalyptic number.

4968800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4968800 is an abundant number, since it is smaller than the sum of its proper divisors (7163236).

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

4968800 is a wasteful number, since it uses less digits than its factorization.

4968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6231 (or 6218 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 4968800 is about 2229.0805279307. The cubic root of 4968800 is about 170.6411772914.

The spelling of 4968800 in words is "four million, nine hundred sixty-eight thousand, eight hundred".