450450780 has 96 divisors (see below), whose sum is σ = 1363934208. Its totient is φ = 110419200.

The previous prime is 450450761. The next prime is 450450787. The reversal of 450450780 is 87054054.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450450787) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210315 + ... + 212445.

It is an arithmetic number, because the mean of its divisors is an integer number (14207648).

Almost surely, 2^450450780 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 450450780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681967104).

450450780 is an abundant number, since it is smaller than the sum of its proper divisors (913483428).

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

450450780 is a wasteful number, since it uses less digits than its factorization.

450450780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 450450780 is about 21223.8257625716. The cubic root of 450450780 is about 766.5652262342.

The spelling of 450450780 in words is "four hundred fifty million, four hundred fifty thousand, seven hundred eighty".