457616 has 20 divisors (see below), whose sum is σ = 911772. Its totient is φ = 222336.

The previous prime is 457609. The next prime is 457621. The reversal of 457616 is 616754.

It can be written as a sum of positive squares in 2 ways, for example, as 211600 + 246016 = 460^2 + 496^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

457616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 206 + ... + 978.

2⁴⁵⁷⁶¹⁶ is an apocalyptic number.

It is an amenable number.

457616 is a deficient number, since it is larger than the sum of its proper divisors (454156).

457616 is a wasteful number, since it uses less digits than its factorization.

457616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 812 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 457616 is about 676.4732071561. The cubic root of 457616 is about 77.0608390821.

The spelling of 457616 in words is "four hundred fifty-seven thousand, six hundred sixteen".