4456780416 has 144 divisors (see below), whose sum is σ = 14097176730. Its totient is φ = 1350497280.

The previous prime is 4456780411. The next prime is 4456780453. The reversal of 4456780416 is 6140876544.

4456780416 is a `hidden beast` number, since 4 + 4 + 567 + 80 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2650190400 + 1806590016 = 51480^2 + 42504^2 .

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

It is a super-2 number, since 2×4456780416² = 39725783352882266112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4456780411) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 123406 + ... + 155378.

Almost surely, 2^4456780416 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 4456780416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7048588365).

4456780416 is an abundant number, since it is smaller than the sum of its proper divisors (9640396314).

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

4456780416 is a wasteful number, since it uses less digits than its factorization.

4456780416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32015 (or 31989 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4456780416 is about 66759.1223429428. The cubic root of 4456780416 is about 1645.6611337827.

The spelling of 4456780416 in words is "four billion, four hundred fifty-six million, seven hundred eighty thousand, four hundred sixteen".