4057216 has 32 divisors (see below), whose sum is σ = 8369100. Its totient is φ = 1956864.

The previous prime is 4057213. The next prime is 4057217. The reversal of 4057216 is 6127504.

It can be written as a sum of positive squares in 2 ways, for example, as 3594816 + 462400 = 1896^2 + 680^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×4057216² = 32922003341312, which contains 22 as substring.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (4057211) 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, 3166 + ... + 4258.

Almost surely, 2^4057216 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 4057216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184550).

4057216 is an abundant number, since it is smaller than the sum of its proper divisors (4311884).

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

4057216 is a wasteful number, since it uses less digits than its factorization.

4057216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 4057216 is about 2014.2532114906. The cubic root of 4057216 is about 159.4933976558.

The spelling of 4057216 in words is "four million, fifty-seven thousand, two hundred sixteen".