4457946456 has 80 divisors (see below), whose sum is σ = 12496347600. Its totient is φ = 1484796096.

The previous prime is 4457946433. The next prime is 4457946527. The reversal of 4457946456 is 6546497544.

4457946456 is a `hidden beast` number, since 4 + 4 + 579 + 4 + 64 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1250805 + ... + 1254363.

It is an arithmetic number, because the mean of its divisors is an integer number (156204345).

Almost surely, 2^4457946456 is an apocalyptic number.

It is an amenable number.

4457946456 is an abundant number, since it is smaller than the sum of its proper divisors (8038401144).

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

4457946456 is a wasteful number, since it uses less digits than its factorization.

4457946456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5510 (or 5497 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The square root of 4457946456 is about 66767.8549603026. The cubic root of 4457946456 is about 1645.8046409189.

The spelling of 4457946456 in words is "four billion, four hundred fifty-seven million, nine hundred forty-six thousand, four hundred fifty-six".