457640 has 32 divisors (see below), whose sum is σ = 1091880. Its totient is φ = 172032.

The previous prime is 457621. The next prime is 457643. The reversal of 457640 is 46754.

457640 = 156² + 157² + ... + 172².

It can be written as a sum of positive squares in 4 ways, for example, as 386884 + 70756 = 622^2 + 266^2 .

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 344 + ... + 1016.

2⁴⁵⁷⁶⁴⁰ is an apocalyptic number.

457640 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 457640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545940).

457640 is an abundant number, since it is smaller than the sum of its proper divisors (634240).

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

457640 is a wasteful number, since it uses less digits than its factorization.

457640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 457640 is about 676.4909459852. The cubic root of 457640 is about 77.0621862289.

The spelling of 457640 in words is "four hundred fifty-seven thousand, six hundred forty".