4516800 has 84 divisors (see below), whose sum is σ = 14834616. Its totient is φ = 1203200.

The previous prime is 4516789. The next prime is 4516817. The reversal of 4516800 is 86154.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4330 + ... + 5270.

Almost surely, 2^4516800 is an apocalyptic number.

4516800 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 4516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7417308).

4516800 is an abundant number, since it is smaller than the sum of its proper divisors (10317816).

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

4516800 is a wasteful number, since it uses less digits than its factorization.

4516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 4516800 is about 2125.2764526056. The cubic root of 4516800 is about 165.3015605496.

The spelling of 4516800 in words is "four million, five hundred sixteen thousand, eight hundred".