457111456 has 48 divisors (see below), whose sum is σ = 940380840. Its totient is φ = 218444800.

The previous prime is 457111451. The next prime is 457111463. The reversal of 457111456 is 654111754.

It can be written as a sum of positive squares in 4 ways, for example, as 438483600 + 18627856 = 20940^2 + 4316^2 .

It is not an unprimeable number, because it can be changed into a prime (457111451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91290 + ... + 96166.

Almost surely, 2^457111456 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 457111456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470190420).

457111456 is an abundant number, since it is smaller than the sum of its proper divisors (483269384).

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

457111456 is a wasteful number, since it uses less digits than its factorization.

457111456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5017 (or 5009 counting only the distinct ones).

The product of its digits is 16800, while the sum is 34.

The square root of 457111456 is about 21380.1650133950. The cubic root of 457111456 is about 770.3250755375.

The spelling of 457111456 in words is "four hundred fifty-seven million, one hundred eleven thousand, four hundred fifty-six".