450730800 has 180 divisors, whose sum is σ = 1684656064. Its totient is φ = 110937600.

The previous prime is 450730757. The next prime is 450730801. The reversal of 450730800 is 8037054.

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (450730801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41985 + ... + 51615.

Almost surely, 2^450730800 is an apocalyptic number.

450730800 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 450730800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842328032).

450730800 is an abundant number, since it is smaller than the sum of its proper divisors (1233925264).

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

450730800 is a wasteful number, since it uses less digits than its factorization.

450730800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9668 (or 9654 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 450730800 is about 21230.4215690598. The cubic root of 450730800 is about 766.7240368747.

Adding to 450730800 its reverse (8037054), we get a palindrome (458767854).

The spelling of 450730800 in words is "four hundred fifty million, seven hundred thirty thousand, eight hundred".