4779216 has 160 divisors (see below), whose sum is σ = 15832320. Its totient is φ = 1368576.

The previous prime is 4779209. The next prime is 4779221. The reversal of 4779216 is 6129774.

It is a happy number.

4779216 is nontrivially palindromic in base 11.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129150 + ... + 129186.

It is an arithmetic number, because the mean of its divisors is an integer number (98952).

Almost surely, 2^4779216 is an apocalyptic number.

4779216 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 4779216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7916160).

4779216 is an abundant number, since it is smaller than the sum of its proper divisors (11053104).

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

4779216 is a wasteful number, since it uses less digits than its factorization.

4779216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 78 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 4779216 is about 2186.1418069284. The cubic root of 4779216 is about 168.4427099069.

The spelling of 4779216 in words is "four million, seven hundred seventy-nine thousand, two hundred sixteen".