457081768 has 64 divisors (see below), whose sum is σ = 1028401920. Its totient is φ = 187680000.

The previous prime is 457081759. The next prime is 457081777. The reversal of 457081768 is 867180754.

It is an interprime number because it is at equal distance from previous prime (457081759) and next prime (457081777).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49518 + ... + 58018.

It is an arithmetic number, because the mean of its divisors is an integer number (16068780).

Almost surely, 2^457081768 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 457081768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514200960).

457081768 is an abundant number, since it is smaller than the sum of its proper divisors (571320152).

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

457081768 is a wasteful number, since it uses less digits than its factorization.

457081768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8578 (or 8574 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 46.

The square root of 457081768 is about 21379.4707137478. The cubic root of 457081768 is about 770.3083984188.

The spelling of 457081768 in words is "four hundred fifty-seven million, eighty-one thousand, seven hundred sixty-eight".