457648 has 10 divisors (see below), whose sum is σ = 886724. Its totient is φ = 228816.

The previous prime is 457643. The next prime is 457651. The reversal of 457648 is 846754.

It is not an unprimeable number, because it can be changed into a prime (457643) by changing a digit.

457648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14286 + ... + 14317.

2⁴⁵⁷⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

457648 is a deficient number, since it is larger than the sum of its proper divisors (429076).

457648 is a wasteful number, since it uses less digits than its factorization.

457648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28611 (or 28605 counting only the distinct ones).

The product of its digits is 26880, while the sum is 34.

The square root of 457648 is about 676.4968588249. The cubic root of 457648 is about 77.0626352674.

It can be divided in two parts, 4576 and 48, that added together give a square (4624 = 68²).

The spelling of 457648 in words is "four hundred fifty-seven thousand, six hundred forty-eight".