4416132 has 48 divisors (see below), whose sum is σ = 12400640. Its totient is φ = 1194912.

The previous prime is 4416131. The next prime is 4416133. The reversal of 4416132 is 2316144.

It is an interprime number because it is at equal distance from previous prime (4416131) and next prime (4416133).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4416099 and 4416108.

It is not an unprimeable number, because it can be changed into a prime (4416131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213 + ... + 2979.

Almost surely, 2^4416132 is an apocalyptic number.

4416132 is a gapful number since it is divisible by the number (42) 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 4416132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6200320).

4416132 is an abundant number, since it is smaller than the sum of its proper divisors (7984508).

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

4416132 is a wasteful number, since it uses less digits than its factorization.

4416132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2800 (or 2798 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 4416132 is about 2101.4594928287. The cubic root of 4416132 is about 164.0642718539.

The spelling of 4416132 in words is "four million, four hundred sixteen thousand, one hundred thirty-two".