4451616 has 144 divisors (see below), whose sum is σ = 14447160. Its totient is φ = 1290240.

The previous prime is 4451611. The next prime is 4451617. The reversal of 4451616 is 6161544.

4451616 is a `hidden beast` number, since 4 + 45 + 1 + 616 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1904400 + 2547216 = 1380^2 + 1596^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4451616² = 39633770022912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4451616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4451611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108556 + ... + 108596.

Almost surely, 2^4451616 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 4451616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7223580).

4451616 is an abundant number, since it is smaller than the sum of its proper divisors (9995544).

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

4451616 is a wasteful number, since it uses less digits than its factorization.

4451616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 88 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 4451616 is about 2109.8853049396. The cubic root of 4451616 is about 164.5025236507.

The spelling of 4451616 in words is "four million, four hundred fifty-one thousand, six hundred sixteen".