4736800 has 72 divisors (see below), whose sum is σ = 11999232. Its totient is φ = 1824000.

The previous prime is 4736791. The next prime is 4736803. The reversal of 4736800 is 86374.

It is not an unprimeable number, because it can be changed into a prime (4736803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24705 + ... + 24895.

It is an arithmetic number, because the mean of its divisors is an integer number (166656).

Almost surely, 2^4736800 is an apocalyptic number.

4736800 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 4736800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999616).

4736800 is an abundant number, since it is smaller than the sum of its proper divisors (7262432).

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

4736800 is a wasteful number, since it uses less digits than its factorization.

4736800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 4736800 is about 2176.4190772919. The cubic root of 4736800 is about 167.9429133327.

The spelling of 4736800 in words is "four million, seven hundred thirty-six thousand, eight hundred".