4195884 has 96 divisors (see below), whose sum is σ = 12902400. Its totient is φ = 1028160.

The previous prime is 4195883. The next prime is 4195921. The reversal of 4195884 is 4885914.

It is not an unprimeable number, because it can be changed into a prime (4195883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17437 + ... + 17675.

It is an arithmetic number, because the mean of its divisors is an integer number (134400).

Almost surely, 2^4195884 is an apocalyptic number.

4195884 is a gapful number since it is divisible by the number (44) 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 4195884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6451200).

4195884 is an abundant number, since it is smaller than the sum of its proper divisors (8706516).

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

4195884 is a wasteful number, since it uses less digits than its factorization.

4195884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 281 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 4195884 is about 2048.3857058669. The cubic root of 4195884 is about 161.2901420402.

The spelling of 4195884 in words is "four million, one hundred ninety-five thousand, eight hundred eighty-four".