4257952 has 24 divisors (see below), whose sum is σ = 8430912. Its totient is φ = 2116800.

The previous prime is 4257949. The next prime is 4257959. The reversal of 4257952 is 2597524.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 4⁵ + 2¹⁰ + 5² + 7⁴ + 9⁵ + 5³ + 2²² .

It is not an unprimeable number, because it can be changed into a prime (4257959) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8427 + ... + 8917.

It is an arithmetic number, because the mean of its divisors is an integer number (351288).

Almost surely, 2^4257952 is an apocalyptic number.

It is an amenable number.

4257952 is a deficient number, since it is larger than the sum of its proper divisors (4172960).

4257952 is a wasteful number, since it uses less digits than its factorization.

4257952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 764 counting only the distinct ones).

The product of its digits is 25200, while the sum is 34.

The square root of 4257952 is about 2063.4805547909. The cubic root of 4257952 is about 162.0815521921.

The spelling of 4257952 in words is "four million, two hundred fifty-seven thousand, nine hundred fifty-two".