4057416 has 96 divisors (see below), whose sum is σ = 12355200. Its totient is φ = 1192320.

The previous prime is 4057409. The next prime is 4057423. The reversal of 4057416 is 6147504.

It is an interprime number because it is at equal distance from previous prime (4057409) and next prime (4057423).

It is a self number, because there is not a number n which added to its sum of digits gives 4057416.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37170 + ... + 37278.

It is an arithmetic number, because the mean of its divisors is an integer number (128700).

Almost surely, 2^4057416 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 4057416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177600).

4057416 is an abundant number, since it is smaller than the sum of its proper divisors (8297784).

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

4057416 is a wasteful number, since it uses less digits than its factorization.

4057416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4057416 is about 2014.3028570699. The cubic root of 4057416 is about 159.4960183491.

The spelling of 4057416 in words is "four million, fifty-seven thousand, four hundred sixteen".