457011 has 24 divisors (see below), whose sum is σ = 730080. Its totient is φ = 274176.

The previous prime is 457003. The next prime is 457013. The reversal of 457011 is 110754.

It is not a de Polignac number, because 457011 - 2³ = 457003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (457013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4386 + ... + 4488.

It is an arithmetic number, because the mean of its divisors is an integer number (30420).

2⁴⁵⁷⁰¹¹ is an apocalyptic number.

457011 is a deficient number, since it is larger than the sum of its proper divisors (273069).

457011 is a wasteful number, since it uses less digits than its factorization.

457011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 457011 is about 676.0258870783. The cubic root of 457011 is about 77.0268641857.

Adding to 457011 its reverse (110754), we get a palindrome (567765).

It can be divided in two parts, 45 and 7011, that added together give a square (7056 = 84²).

The spelling of 457011 in words is "four hundred fifty-seven thousand, eleven".