457722848 has 96 divisors (see below), whose sum is σ = 1020418560. Its totient is φ = 200309760.

The previous prime is 457722829. The next prime is 457722877. The reversal of 457722848 is 848227754.

It is a happy number.

It is a super-2 number, since 2×457722848² = 419020411162462208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

Its product of digits (1003520) is a multiple of the sum of its prime divisors (512).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1207523 + ... + 1207901.

It is an arithmetic number, because the mean of its divisors is an integer number (10629360).

Almost surely, 2^457722848 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 457722848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510209280).

457722848 is an abundant number, since it is smaller than the sum of its proper divisors (562695712).

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

457722848 is a wasteful number, since it uses less digits than its factorization.

457722848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 512 counting only the distinct ones).

The product of its digits is 1003520, while the sum is 47.

The square root of 457722848 is about 21394.4583478993. The cubic root of 457722848 is about 770.6683621780.

The spelling of 457722848 in words is "four hundred fifty-seven million, seven hundred twenty-two thousand, eight hundred forty-eight".