457466680 has 64 divisors (see below), whose sum is σ = 1149033600. Its totient is φ = 162476160.

The previous prime is 457466657. The next prime is 457466689. The reversal of 457466680 is 86664754.

It is a self number, because there is not a number n which added to its sum of digits gives 457466680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457466689) by changing a digit.

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, 6831 + ... + 31009.

It is an arithmetic number, because the mean of its divisors is an integer number (17953650).

Almost surely, 2^457466680 is an apocalyptic number.

457466680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457466680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574516800).

457466680 is an abundant number, since it is smaller than the sum of its proper divisors (691566920).

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

457466680 is a wasteful number, since it uses less digits than its factorization.

457466680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24244 (or 24240 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The square root of 457466680 is about 21388.4707260711. The cubic root of 457466680 is about 770.5245652532.

The spelling of 457466680 in words is "four hundred fifty-seven million, four hundred sixty-six thousand, six hundred eighty".