457073166 has 64 divisors (see below), whose sum is σ = 1041175296. Its totient is φ = 132537600.

The previous prime is 457073159. The next prime is 457073171. The reversal of 457073166 is 661370754.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

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, 141825 + ... + 145011.

It is an arithmetic number, because the mean of its divisors is an integer number (16268364).

Almost surely, 2^457073166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457073166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520587648).

457073166 is an abundant number, since it is smaller than the sum of its proper divisors (584102130).

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

457073166 is a wasteful number, since it uses less digits than its factorization.

457073166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3297.

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 457073166 is about 21379.2695385039. The cubic root of 457073166 is about 770.3035661438.

The spelling of 457073166 in words is "four hundred fifty-seven million, seventy-three thousand, one hundred sixty-six".