457856776 has 48 divisors (see below), whose sum is σ = 946916460. Its totient is φ = 206317440.

The previous prime is 457856747. The next prime is 457856779. The reversal of 457856776 is 677658754.

It can be written as a sum of positive squares in 2 ways, for example, as 323064676 + 134792100 = 17974^2 + 11610^2 .

It is a super-2 number, since 2×457856776² = 419265654658228352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (457856779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191106 + ... + 193486.

Almost surely, 2^457856776 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 457856776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473458230).

457856776 is an abundant number, since it is smaller than the sum of its proper divisors (489059684).

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

457856776 is a wasteful number, since it uses less digits than its factorization.

457856776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2439 counting only the distinct ones).

The product of its digits is 9878400, while the sum is 55.

The square root of 457856776 is about 21397.5880883804. The cubic root of 457856776 is about 770.7435197453.

The spelling of 457856776 in words is "four hundred fifty-seven million, eight hundred fifty-six thousand, seven hundred seventy-six".