457853856 has 144 divisors (see below), whose sum is σ = 1280077344. Its totient is φ = 143223808.

The previous prime is 457853839. The next prime is 457853857. The reversal of 457853856 is 658358754.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 457853799 and 457853808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457853857) 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 23 ways as a sum of consecutive naturals, for example, 4278955 + ... + 4279061.

It is an arithmetic number, because the mean of its divisors is an integer number (8889426).

Almost surely, 2^457853856 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 457853856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640038672).

457853856 is an abundant number, since it is smaller than the sum of its proper divisors (822223488).

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

457853856 is a wasteful number, since it uses less digits than its factorization.

457853856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 194 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 51.

The square root of 457853856 is about 21397.5198562824. The cubic root of 457853856 is about 770.7418812593.

The spelling of 457853856 in words is "four hundred fifty-seven million, eight hundred fifty-three thousand, eight hundred fifty-six".