457760768 has 112 divisors (see below), whose sum is σ = 1026231120. Its totient is φ = 202899456.

The previous prime is 457760759. The next prime is 457760783. The reversal of 457760768 is 867067754.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2645930 + ... + 2646102.

Almost surely, 2^457760768 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 457760768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513115560).

457760768 is an abundant number, since it is smaller than the sum of its proper divisors (568470352).

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

457760768 is a wasteful number, since it uses less digits than its factorization.

457760768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 50.

The square root of 457760768 is about 21395.3445403434. The cubic root of 457760768 is about 770.6896435694.

The spelling of 457760768 in words is "four hundred fifty-seven million, seven hundred sixty thousand, seven hundred sixty-eight".