9000416 has 48 divisors (see below), whose sum is σ = 18805248. Its totient is φ = 4233600.

The previous prime is 9000403. The next prime is 9000427. The reversal of 9000416 is 6140009.

9000416 is nontrivially palindromic in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42551 + ... + 42761.

It is an arithmetic number, because the mean of its divisors is an integer number (391776).

Almost surely, 2^9000416 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 9000416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9402624).

9000416 is an abundant number, since it is smaller than the sum of its proper divisors (9804832).

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

9000416 is a wasteful number, since it uses less digits than its factorization.

9000416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 9000416 is about 3000.0693325322. The cubic root of 9000416 is about 208.0115871257.

The spelling of 9000416 in words is "nine million, four hundred sixteen", and thus it is an aban number.