4664800 has 144 divisors (see below), whose sum is σ = 14061600. Its totient is φ = 1505280.

The previous prime is 4664789. The next prime is 4664801. The reversal of 4664800 is 84664.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4664801) 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 23 ways as a sum of consecutive naturals, for example, 274392 + ... + 274408.

It is an arithmetic number, because the mean of its divisors is an integer number (97650).

Almost surely, 2^4664800 is an apocalyptic number.

4664800 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 4664800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030800).

4664800 is an abundant number, since it is smaller than the sum of its proper divisors (9396800).

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

4664800 is a wasteful number, since it uses less digits than its factorization.

4664800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 31 counting only the distinct ones).

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

The square root of 4664800 is about 2159.8148068758. The cubic root of 4664800 is about 167.0876468698.

It can be divided in two parts, 46 and 64800, that added together give a palindrome (64846).

The spelling of 4664800 in words is "four million, six hundred sixty-four thousand, eight hundred".