457827748 has 96 divisors (see below), whose sum is σ = 999371520. Its totient is φ = 179097600.

The previous prime is 457827709. The next prime is 457827791. The reversal of 457827748 is 847728754.

It is a junction number, because it is equal to n+sod(n) for n = 457827695 and 457827704.

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, 4278711 + ... + 4278817.

It is an arithmetic number, because the mean of its divisors is an integer number (10410120).

Almost surely, 2^457827748 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 457827748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499685760).

457827748 is an abundant number, since it is smaller than the sum of its proper divisors (541543772).

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

457827748 is a wasteful number, since it uses less digits than its factorization.

457827748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 323 counting only the distinct ones).

The product of its digits is 3512320, while the sum is 52.

The square root of 457827748 is about 21396.9097768813. The cubic root of 457827748 is about 770.7272310885.

The spelling of 457827748 in words is "four hundred fifty-seven million, eight hundred twenty-seven thousand, seven hundred forty-eight".