457216 has 40 divisors (see below), whose sum is σ = 982080. Its totient is φ = 211968.

The previous prime is 457213. The next prime is 457229. The reversal of 457216 is 612754.

Its product of digits (1680) is a multiple of the sum of its prime factors (84).

It is not an unprimeable number, because it can be changed into a prime (457213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9705 + ... + 9751.

It is an arithmetic number, because the mean of its divisors is an integer number (24552).

2⁴⁵⁷²¹⁶ 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 457216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491040).

457216 is an abundant number, since it is smaller than the sum of its proper divisors (524864).

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

457216 is an equidigital number, since it uses as much as digits as its factorization.

457216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 68 counting only the distinct ones).

The product of its digits is 1680, while the sum is 25.

The square root of 457216 is about 676.1774914917. The cubic root of 457216 is about 77.0383796975.

The spelling of 457216 in words is "four hundred fifty-seven thousand, two hundred sixteen".