457500 has 60 divisors (see below), whose sum is σ = 1355816. Its totient is φ = 120000.

The previous prime is 457469. The next prime is 457507. The reversal of 457500 is 5754.

457500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457507) by changing a digit.

457500 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 19 ways as a sum of consecutive naturals, for example, 7470 + ... + 7530.

2⁴⁵⁷⁵⁰⁰ 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 457500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677908).

457500 is an abundant number, since it is smaller than the sum of its proper divisors (898316).

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

457500 is a wasteful number, since it uses less digits than its factorization.

457500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 457500 is about 676.3874629234. The cubic root of 457500 is about 77.0543272084.

The spelling of 457500 in words is "four hundred fifty-seven thousand, five hundred".