457540 has 12 divisors (see below), whose sum is σ = 960876. Its totient is φ = 183008.

The previous prime is 457517. The next prime is 457547. The reversal of 457540 is 45754.

It can be written as a sum of positive squares in 2 ways, for example, as 295936 + 161604 = 544^2 + 402^2 .

It is not an unprimeable number, because it can be changed into a prime (457547) by changing a digit.

457540 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, 11419 + ... + 11458.

It is an arithmetic number, because the mean of its divisors is an integer number (80073).

2⁴⁵⁷⁵⁴⁰ is an apocalyptic number.

It is an amenable number.

457540 is an abundant number, since it is smaller than the sum of its proper divisors (503336).

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

457540 is a wasteful number, since it uses less digits than its factorization.

457540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22886 (or 22884 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 25.

The square root of 457540 is about 676.4170311280. The cubic root of 457540 is about 77.0565728064.

The spelling of 457540 in words is "four hundred fifty-seven thousand, five hundred forty".