4006416 has 80 divisors (see below), whose sum is σ = 11427840. Its totient is φ = 1203840.

The previous prime is 4006411. The next prime is 4006417. The reversal of 4006416 is 6146004.

It is a junction number, because it is equal to n+sod(n) for n = 4006392 and 4006401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20881 + ... + 21071.

It is an arithmetic number, because the mean of its divisors is an integer number (142848).

Almost surely, 2^4006416 is an apocalyptic number.

4006416 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4006416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713920).

4006416 is an abundant number, since it is smaller than the sum of its proper divisors (7421424).

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

4006416 is a wasteful number, since it uses less digits than its factorization.

4006416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4006416 is about 2001.6033573113. The cubic root of 4006416 is about 158.8249329013.

The spelling of 4006416 in words is "four million, six thousand, four hundred sixteen".