450780 has 48 divisors (see below), whose sum is σ = 1378944. Its totient is φ = 109120.

The previous prime is 450767. The next prime is 450787. The reversal of 450780 is 87054.

450780 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 450780.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450787) by changing a digit.

450780 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 15 ways as a sum of consecutive naturals, for example, 319 + ... + 1001.

It is an arithmetic number, because the mean of its divisors is an integer number (28728).

2⁴⁵⁰⁷⁸⁰ 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 450780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472).

450780 is an abundant number, since it is smaller than the sum of its proper divisors (928164).

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

450780 is a wasteful number, since it uses less digits than its factorization.

450780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 450780 is about 671.4015192119. The cubic root of 450780 is about 76.6751933386.

The spelling of 450780 in words is "four hundred fifty thousand, seven hundred eighty".