4968200 has 24 divisors (see below), whose sum is σ = 11551530. Its totient is φ = 1987200.

The previous prime is 4968179. The next prime is 4968203. The reversal of 4968200 is 28694.

It can be written as a sum of positive squares in 3 ways, for example, as 2427364 + 2540836 = 1558^2 + 1594^2 .

It is a super-2 number, since 2×4968200² = 49366022480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4968203) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 12221 + ... + 12620.

Almost surely, 2^4968200 is an apocalyptic number.

4968200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4968200 is an abundant number, since it is smaller than the sum of its proper divisors (6583330).

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

4968200 is a wasteful number, since it uses less digits than its factorization.

4968200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24857 (or 24848 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 4968200 is about 2228.9459392278. The cubic root of 4968200 is about 170.6343085083.

The spelling of 4968200 in words is "four million, nine hundred sixty-eight thousand, two hundred".