450516300 has 144 divisors (see below), whose sum is σ = 1424408832. Its totient is φ = 109267200.

The previous prime is 450516263. The next prime is 450516317. The reversal of 450516300 is 3615054.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276087 + ... + 277713.

It is an arithmetic number, because the mean of its divisors is an integer number (9891728).

Almost surely, 2^450516300 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 450516300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712204416).

450516300 is an abundant number, since it is smaller than the sum of its proper divisors (973892532).

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

450516300 is a wasteful number, since it uses less digits than its factorization.

450516300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 450516300 is about 21225.3692547385. The cubic root of 450516300 is about 766.6023911668.

The spelling of 450516300 in words is "four hundred fifty million, five hundred sixteen thousand, three hundred".