4504557456 has 405 divisors, whose sum is σ = 15916582929. Its totient is φ = 1185537024.

The previous prime is 4504557427. The next prime is 4504557457. The reversal of 4504557456 is 6547554054.

The square root of 4504557456 is 67116.

It is a perfect power (a square), and thus also a powerful number.

4504557456 is a `hidden beast` number, since 4 + 50 + 4 + 557 + 45 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3507008400 + 997549056 = 59220^2 + 31584^2 .

It is not an unprimeable number, because it can be changed into a prime (4504557457) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 95841625 + ... + 95841671.

Almost surely, 2^4504557456 is an apocalyptic number.

4504557456 is the 67116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4504557456

4504557456 is an abundant number, since it is smaller than the sum of its proper divisors (11412025473).

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

4504557456 is a wasteful number, since it uses less digits than its factorization.

4504557456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 45.

The cubic root of 4504557456 is about 1651.5207841078.

The spelling of 4504557456 in words is "four billion, five hundred four million, five hundred fifty-seven thousand, four hundred fifty-six".