457240 has 64 divisors (see below), whose sum is σ = 1244160. Its totient is φ = 147840.

The previous prime is 457229. The next prime is 457241. The reversal of 457240 is 42754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6405 + ... + 6475.

It is an arithmetic number, because the mean of its divisors is an integer number (19440).

2⁴⁵⁷²⁴⁰ is an apocalyptic number.

457240 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 457240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622080).

457240 is an abundant number, since it is smaller than the sum of its proper divisors (786920).

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

457240 is a wasteful number, since it uses less digits than its factorization.

457240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 457240 is about 676.1952380785. The cubic root of 457240 is about 77.0397276299.

Adding to 457240 its reverse (42754), we get a palindrome (499994).

The spelling of 457240 in words is "four hundred fifty-seven thousand, two hundred forty".