457700 has 36 divisors (see below), whose sum is σ = 1041600. Its totient is φ = 174240.

The previous prime is 457697. The next prime is 457711. The reversal of 457700 is 7754.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2201 + ... + 2399.

2⁴⁵⁷⁷⁰⁰ 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 457700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520800).

457700 is an abundant number, since it is smaller than the sum of its proper divisors (583900).

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

457700 is a wasteful number, since it uses less digits than its factorization.

457700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 457700 is about 676.5352910233. The cubic root of 457700 is about 77.0655538899.

457700 divided by its sum of digits (23) gives a triangular number (19900 = T₁₉₉).

The spelling of 457700 in words is "four hundred fifty-seven thousand, seven hundred".