450756 has 36 divisors (see below), whose sum is σ = 1201200. Its totient is φ = 142128.

The previous prime is 450727. The next prime is 450761. The reversal of 450756 is 657054.

It is a tau number, because it is divible by the number of its divisors (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 450756.

It is an unprimeable number.

450756 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, 355 + ... + 1013.

2⁴⁵⁰⁷⁵⁶ 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 450756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600600).

450756 is an abundant number, since it is smaller than the sum of its proper divisors (750444).

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

450756 is a wasteful number, since it uses less digits than its factorization.

450756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 450756 is about 671.3836459134. The cubic root of 450756 is about 76.6738325585.

The spelling of 450756 in words is "four hundred fifty thousand, seven hundred fifty-six".