4688800 has 36 divisors (see below), whose sum is σ = 11448486. Its totient is φ = 1875200.

The previous prime is 4688777. The next prime is 4688813. The reversal of 4688800 is 88864.

4688800 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 3 ways, for example, as 3370896 + 1317904 = 1836^2 + 1148^2 .

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2131 + ... + 3730.

Almost surely, 2^4688800 is an apocalyptic number.

4688800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4688800 is an abundant number, since it is smaller than the sum of its proper divisors (6759686).

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

4688800 is a wasteful number, since it uses less digits than its factorization.

4688800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5881 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 4688800 is about 2165.3637107886. The cubic root of 4688800 is about 167.3737074298.

The spelling of 4688800 in words is "four million, six hundred eighty-eight thousand, eight hundred".