4217472 has 96 divisors (see below), whose sum is σ = 13896480. Its totient is φ = 1202688.

The previous prime is 4217461. The next prime is 4217489. The reversal of 4217472 is 2747124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7803 + ... + 8325.

It is an arithmetic number, because the mean of its divisors is an integer number (144755).

Almost surely, 2^4217472 is an apocalyptic number.

4217472 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 4217472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6948240).

4217472 is an abundant number, since it is smaller than the sum of its proper divisors (9679008).

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

4217472 is a wasteful number, since it uses less digits than its factorization.

4217472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 535 counting only the distinct ones).

The product of its digits is 3136, while the sum is 27.

The square root of 4217472 is about 2053.6484606670. The cubic root of 4217472 is about 161.5662838525.

The spelling of 4217472 in words is "four million, two hundred seventeen thousand, four hundred seventy-two".