450980000 has 60 divisors (see below), whose sum is σ = 1109527650. Its totient is φ = 180384000.

The previous prime is 450979987. The next prime is 450980003. The reversal of 450980000 is 89054.

It can be written as a sum of positive squares in 5 ways, for example, as 87086224 + 363893776 = 9332^2 + 19076^2 .

It is not an unprimeable number, because it can be changed into a prime (450980003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8726 + ... + 31274.

Almost surely, 2^450980000 is an apocalyptic number.

450980000 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 450980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554763825).

450980000 is an abundant number, since it is smaller than the sum of its proper divisors (658547650).

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

450980000 is an equidigital number, since it uses as much as digits as its factorization.

450980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22579 (or 22556 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 450980000 is about 21236.2896947654. The cubic root of 450980000 is about 766.8653129448.

It can be divided in two parts, 450 and 980000, that multiplied together give a square (441000000 = 21000²).

The spelling of 450980000 in words is "four hundred fifty million, nine hundred eighty thousand".