450760 has 32 divisors (see below), whose sum is σ = 1036800. Its totient is φ = 176320.

The previous prime is 450727. The next prime is 450761. The reversal of 450760 is 67054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450761) by changing a digit.

450760 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 7 ways as a sum of consecutive naturals, for example, 2265 + ... + 2455.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

2⁴⁵⁰⁷⁶⁰ is an apocalyptic number.

450760 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 450760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518400).

450760 is an abundant number, since it is smaller than the sum of its proper divisors (586040).

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

450760 is a wasteful number, since it uses less digits than its factorization.

450760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 450760 is about 671.3866248295. The cubic root of 450760 is about 76.6740593585.

The spelling of 450760 in words is "four hundred fifty thousand, seven hundred sixty".