4540416 has 48 divisors (see below), whose sum is σ = 12121200. Its totient is φ = 1511424.

The previous prime is 4540397. The next prime is 4540423. The reversal of 4540416 is 6140454.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5775 + ... + 6513.

It is an arithmetic number, because the mean of its divisors is an integer number (252525).

Almost surely, 2^4540416 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 4540416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6060600).

4540416 is an abundant number, since it is smaller than the sum of its proper divisors (7580784).

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

4540416 is an equidigital number, since it uses as much as digits as its factorization.

4540416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4540416 is about 2130.8251922671. The cubic root of 4540416 is about 165.5891518950.

The spelling of 4540416 in words is "four million, five hundred forty thousand, four hundred sixteen".