4552800 has 144 divisors (see below), whose sum is σ = 16998912. Its totient is φ = 1036800.

The previous prime is 4552789. The next prime is 4552811. The reversal of 4552800 is 82554.

It is an interprime number because it is at equal distance from previous prime (4552789) and next prime (4552811).

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 23 ways as a sum of consecutive naturals, for example, 16665 + ... + 16935.

It is an arithmetic number, because the mean of its divisors is an integer number (118048).

Almost surely, 2^4552800 is an apocalyptic number.

4552800 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 4552800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8499456).

4552800 is an abundant number, since it is smaller than the sum of its proper divisors (12446112).

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

4552800 is a wasteful number, since it uses less digits than its factorization.

4552800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 4552800 is about 2133.7291299507. The cubic root of 4552800 is about 165.7395635524.

The spelling of 4552800 in words is "four million, five hundred fifty-two thousand, eight hundred".