4472800 has 36 divisors (see below), whose sum is σ = 10921176. Its totient is φ = 1788800.

The previous prime is 4472789. The next prime is 4472801. The reversal of 4472800 is 82744.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4472801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1996 + ... + 3595.

It is an arithmetic number, because the mean of its divisors is an integer number (303366).

Almost surely, 2^4472800 is an apocalyptic number.

4472800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4472800 is an abundant number, since it is smaller than the sum of its proper divisors (6448376).

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

4472800 is a wasteful number, since it uses less digits than its factorization.

4472800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5611 (or 5598 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 4472800 is about 2114.8995248002. The cubic root of 4472800 is about 164.7630513830.

The spelling of 4472800 in words is "four million, four hundred seventy-two thousand, eight hundred".