4964800 has 84 divisors (see below), whose sum is σ = 12755880. Its totient is φ = 1899520.

The previous prime is 4964797. The next prime is 4964801. The reversal of 4964800 is 84694.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4964801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46347 + ... + 46453.

Almost surely, 2^4964800 is an apocalyptic number.

4964800 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 4964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6377940).

4964800 is an abundant number, since it is smaller than the sum of its proper divisors (7791080).

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

4964800 is a wasteful number, since it uses less digits than its factorization.

4964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 4964800 is about 2228.1831163529. The cubic root of 4964800 is about 170.5953749547.

The spelling of 4964800 in words is "four million, nine hundred sixty-four thousand, eight hundred".