4217952 has 48 divisors (see below), whose sum is σ = 11294640. Its totient is φ = 1377792.

The previous prime is 4217929. The next prime is 4217959. The reversal of 4217952 is 2597124.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4217952² = 35582238148608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4217959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4674 + ... + 5502.

It is an arithmetic number, because the mean of its divisors is an integer number (235305).

Almost surely, 2^4217952 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 4217952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5647320).

4217952 is an abundant number, since it is smaller than the sum of its proper divisors (7076688).

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

4217952 is a wasteful number, since it uses less digits than its factorization.

4217952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 887 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 4217952 is about 2053.7653225235. The cubic root of 4217952 is about 161.5724130277.

The spelling of 4217952 in words is "four million, two hundred seventeen thousand, nine hundred fifty-two".