457040 has 40 divisors (see below), whose sum is σ = 1104840. Its totient is φ = 175616.

The previous prime is 457021. The next prime is 457043. The reversal of 457040 is 40754.

It can be written as a sum of positive squares in 4 ways, for example, as 169744 + 287296 = 412^2 + 536^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 457040.

It is not an unprimeable number, because it can be changed into a prime (457043) by changing a digit.

457040 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 in 7 ways as a sum of consecutive naturals, for example, 2222 + ... + 2418.

It is an arithmetic number, because the mean of its divisors is an integer number (27621).

2⁴⁵⁷⁰⁴⁰ is an apocalyptic number.

457040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552420).

457040 is an abundant number, since it is smaller than the sum of its proper divisors (647800).

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

457040 is a wasteful number, since it uses less digits than its factorization.

457040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 457040 is about 676.0473356208. The cubic root of 457040 is about 77.0284934184.

Adding to 457040 its reverse (40754), we get a palindrome (497794).

The spelling of 457040 in words is "four hundred fifty-seven thousand, forty".