4417952 has 72 divisors (see below), whose sum is σ = 10993248. Its totient is φ = 1710720.

The previous prime is 4417927. The next prime is 4417957. The reversal of 4417952 is 2597144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4417957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27023 + ... + 27185.

It is an arithmetic number, because the mean of its divisors is an integer number (152684).

Almost surely, 2^4417952 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 4417952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5496624).

4417952 is an abundant number, since it is smaller than the sum of its proper divisors (6575296).

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

4417952 is a wasteful number, since it uses less digits than its factorization.

4417952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 183 counting only the distinct ones).

The product of its digits is 10080, while the sum is 32.

The square root of 4417952 is about 2101.8924805993. The cubic root of 4417952 is about 164.0868071075.

The spelling of 4417952 in words is "four million, four hundred seventeen thousand, nine hundred fifty-two".