4536416 has 48 divisors (see below), whose sum is σ = 9797760. Its totient is φ = 2058240.

The previous prime is 4536407. The next prime is 4536431. The reversal of 4536416 is 6146354.

It is a happy number.

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, 16730 + ... + 16998.

It is an arithmetic number, because the mean of its divisors is an integer number (204120).

Almost surely, 2^4536416 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 4536416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898880).

4536416 is an abundant number, since it is smaller than the sum of its proper divisors (5261344).

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

4536416 is a wasteful number, since it uses less digits than its factorization.

4536416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 319 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 4536416 is about 2129.8863819462. The cubic root of 4536416 is about 165.5405108887.

The spelling of 4536416 in words is "four million, five hundred thirty-six thousand, four hundred sixteen".