4016416 has 24 divisors (see below), whose sum is σ = 7952364. Its totient is φ = 1996800.

The previous prime is 4016407. The next prime is 4016443. The reversal of 4016416 is 6146104.

It can be written as a sum of positive squares in 2 ways, for example, as 4016016 + 400 = 2004^2 + 20^2 .

It is a super-2 number, since 2×4016416² = 32263194970112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9816 + ... + 10216.

Almost surely, 2^4016416 is an apocalyptic number.

It is an amenable number.

4016416 is a deficient number, since it is larger than the sum of its proper divisors (3935948).

4016416 is a wasteful number, since it uses less digits than its factorization.

4016416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 4016416 is about 2004.0997979143. The cubic root of 4016416 is about 158.9569652662.

It can be divided in two parts, 401 and 6416, that multiplied together give a square (2572816 = 1604²).

The spelling of 4016416 in words is "four million, sixteen thousand, four hundred sixteen".