4416100 has 72 divisors (see below), whose sum is σ = 10693760. Its totient is φ = 1572480.

The previous prime is 4416089. The next prime is 4416101. The reversal of 4416100 is 16144.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4416101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55861 + ... + 55939.

Almost surely, 2^4416100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4416100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346880).

4416100 is an abundant number, since it is smaller than the sum of its proper divisors (6277660).

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

4416100 is a wasteful number, since it uses less digits than its factorization.

4416100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4416100 is about 2101.4518790589. The cubic root of 4416100 is about 164.0638755743.

It can be divided in two parts, 4 and 416100, that multiplied together give a triangular number (1664400 = T₁₈₂₄).

The spelling of 4416100 in words is "four million, four hundred sixteen thousand, one hundred".