4716800 has 108 divisors (see below), whose sum is σ = 12926256. Its totient is φ = 1689600.

The previous prime is 4716793. The next prime is 4716809. The reversal of 4716800 is 86174.

It is a self number, because there is not a number n which added to its sum of digits gives 4716800.

It is not an unprimeable number, because it can be changed into a prime (4716809) 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, 70367 + ... + 70433.

Almost surely, 2^4716800 is an apocalyptic number.

4716800 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 4716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6463128).

4716800 is an abundant number, since it is smaller than the sum of its proper divisors (8209456).

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

4716800 is a wasteful number, since it uses less digits than its factorization.

4716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 4716800 is about 2171.8195136797. The cubic root of 4716800 is about 167.7062136824.

The spelling of 4716800 in words is "four million, seven hundred sixteen thousand, eight hundred".