4477616 has 80 divisors (see below), whose sum is σ = 10832640. Its totient is φ = 1762560.

The previous prime is 4477573. The next prime is 4477619. The reversal of 4477616 is 6167744.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4477619) 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, 43421 + ... + 43523.

It is an arithmetic number, because the mean of its divisors is an integer number (135408).

Almost surely, 2^4477616 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 4477616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416320).

4477616 is an abundant number, since it is smaller than the sum of its proper divisors (6355024).

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

4477616 is a wasteful number, since it uses less digits than its factorization.

4477616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 148 counting only the distinct ones).

The product of its digits is 28224, while the sum is 35.

The square root of 4477616 is about 2116.0378068456. The cubic root of 4477616 is about 164.8221653035.

It can be divided in two parts, 44 and 77616, that multiplied together give a square (3415104 = 1848²).

The spelling of 4477616 in words is "four million, four hundred seventy-seven thousand, six hundred sixteen".