457831609 has 3 divisors (see below), whose sum is σ = 457853007. Its totient is φ = 457810212.

The previous prime is 457831603. The next prime is 457831639. The reversal of 457831609 is 906138754.

The square root of 457831609 is 21397.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 906138754 = 2 ⋅453069377.

It can be written as a sum of positive squares in only one way, i.e., 450925225 + 6906384 = 21235^2 + 2628^2 .

It is not a de Polignac number, because 457831609 - 2⁷ = 457831481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (457831603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 10699 + ... + 32095.

It is an arithmetic number, because the mean of its divisors is an integer number (152617669).

Almost surely, 2^457831609 is an apocalyptic number.

457831609 is the 21397-th square number.

457831609 is the 10699-th centered octagonal number.

It is an amenable number.

457831609 is a deficient number, since it is larger than the sum of its proper divisors (21398).

457831609 is an frugal number, since it uses more digits than its factorization.

457831609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42794 (or 21397 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The cubic root of 457831609 is about 770.7293976744.

The spelling of 457831609 in words is "four hundred fifty-seven million, eight hundred thirty-one thousand, six hundred nine".