4472100 has 54 divisors (see below), whose sum is σ = 14020370. Its totient is φ = 1192320.

The previous prime is 4472089. The next prime is 4472101. The reversal of 4472100 is 12744.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 36864 + 4435236 = 192^2 + 2106^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4472101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1585 + ... + 3384.

Almost surely, 2^4472100 is an apocalyptic number.

It is an amenable number.

4472100 is an abundant number, since it is smaller than the sum of its proper divisors (9548270).

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

4472100 is a wasteful number, since it uses less digits than its factorization.

4472100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4989 (or 4979 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 4472100 is about 2114.7340258293. The cubic root of 4472100 is about 164.7544557119.

Adding to 4472100 its reverse (12744), we get a palindrome (4484844).

The spelling of 4472100 in words is "four million, four hundred seventy-two thousand, one hundred".