4734800 has 120 divisors (see below), whose sum is σ = 13838400. Its totient is φ = 1520640.

The previous prime is 4734799. The next prime is 4734811. The reversal of 4734800 is 84374.

It is a self number, because there is not a number n which added to its sum of digits gives 4734800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53156 + ... + 53244.

It is an arithmetic number, because the mean of its divisors is an integer number (115320).

Almost surely, 2^4734800 is an apocalyptic number.

4734800 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 4734800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6919200).

4734800 is an abundant number, since it is smaller than the sum of its proper divisors (9103600).

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

4734800 is a wasteful number, since it uses less digits than its factorization.

4734800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 4734800 is about 2175.9595584477. The cubic root of 4734800 is about 167.9192733851.

The spelling of 4734800 in words is "four million, seven hundred thirty-four thousand, eight hundred".