456600 has 48 divisors (see below), whose sum is σ = 1417320. Its totient is φ = 121600.

The previous prime is 456587. The next prime is 456607. The reversal of 456600 is 6654.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 456600.

It is not an unprimeable number, because it can be changed into a prime (456607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220 + ... + 980.

2⁴⁵⁶⁶⁰⁰ is an apocalyptic number.

456600 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 456600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708660).

456600 is an abundant number, since it is smaller than the sum of its proper divisors (960720).

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

456600 is a wasteful number, since it uses less digits than its factorization.

456600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 456600 is about 675.7218362610. The cubic root of 456600 is about 77.0037666117.

The spelling of 456600 in words is "four hundred fifty-six thousand, six hundred".