4190472 has 144 divisors (see below), whose sum is σ = 13797420. Its totient is φ = 1140480.

The previous prime is 4190467. The next prime is 4190477. The reversal of 4190472 is 2740914.

It is a happy number.

4190472 is a `hidden beast` number, since 4 + 190 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (4190467) and next prime (4190477).

It can be written as a sum of positive squares in 2 ways, for example, as 4186116 + 4356 = 2046^2 + 66^2 .

It is not an unprimeable number, because it can be changed into a prime (4190477) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 113238 + ... + 113274.

Almost surely, 2^4190472 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 4190472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6898710).

4190472 is an abundant number, since it is smaller than the sum of its proper divisors (9606948).

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

4190472 is a wasteful number, since it uses less digits than its factorization.

4190472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4190472 is about 2047.0642393437. The cubic root of 4190472 is about 161.2207662887.

The spelling of 4190472 in words is "four million, one hundred ninety thousand, four hundred seventy-two".