457660 has 36 divisors (see below), whose sum is σ = 1120392. Its totient is φ = 156576.

The previous prime is 457651. The next prime is 457661. The reversal of 457660 is 66754.

457660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457661) by changing a digit.

457660 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 11 ways as a sum of consecutive naturals, for example, 747 + ... + 1213.

It is an arithmetic number, because the mean of its divisors is an integer number (31122).

2⁴⁵⁷⁶⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560196).

457660 is an abundant number, since it is smaller than the sum of its proper divisors (662732).

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

457660 is a wasteful number, since it uses less digits than its factorization.

457660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 457660 is about 676.5057279876. The cubic root of 457660 is about 77.0633088152.

The spelling of 457660 in words is "four hundred fifty-seven thousand, six hundred sixty".