4668400 has 60 divisors (see below), whose sum is σ = 12246984. Its totient is φ = 1696000.

The previous prime is 4668397. The next prime is 4668407. The reversal of 4668400 is 48664.

4668400 = 360² + 361² + ... + 392².

4668400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 (4668407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3870 + ... + 4930.

Almost surely, 2^4668400 is an apocalyptic number.

4668400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4668400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6123492).

4668400 is an abundant number, since it is smaller than the sum of its proper divisors (7578584).

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

4668400 is a wasteful number, since it uses less digits than its factorization.

4668400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 4668400 is about 2160.6480509329. The cubic root of 4668400 is about 167.1306184054.

The spelling of 4668400 in words is "four million, six hundred sixty-eight thousand, four hundred".