457114224 has 160 divisors (see below), whose sum is σ = 1448478720. Its totient is φ = 121245696.

The previous prime is 457114219. The next prime is 457114261. The reversal of 457114224 is 422411754.

It is a super-3 number, since 3×457114224³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 457114191 and 457114200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450742 + ... + 451754.

It is an arithmetic number, because the mean of its divisors is an integer number (9052992).

Almost surely, 2^457114224 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 457114224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724239360).

457114224 is an abundant number, since it is smaller than the sum of its proper divisors (991364496).

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

457114224 is a wasteful number, since it uses less digits than its factorization.

457114224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1121 counting only the distinct ones).

The product of its digits is 8960, while the sum is 30.

The square root of 457114224 is about 21380.2297461931. The cubic root of 457114224 is about 770.3266304139.

Adding to 457114224 its reverse (422411754), we get a palindrome (879525978).

The spelling of 457114224 in words is "four hundred fifty-seven million, one hundred fourteen thousand, two hundred twenty-four".