450433253520200 has 96 divisors (see below), whose sum is σ = 1049774280105000. Its totient is φ = 179740299110400.

The previous prime is 450433253520193. The next prime is 450433253520223. The reversal of 450433253520200 is 2025352334054.

It can be written as a sum of positive squares in 12 ways, for example, as 5079677546596 + 445353575973604 = 2253814^2 + 21103402^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4929780116 + ... + 4929871484.

Almost surely, 2^{450433253520200} is an apocalyptic number.

450433253520200 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 450433253520200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524887140052500).

450433253520200 is an abundant number, since it is smaller than the sum of its proper divisors (599341026584800).

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

450433253520200 is a wasteful number, since it uses less digits than its factorization.

450433253520200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150355 (or 150346 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 38.

The spelling of 450433253520200 in words is "four hundred fifty trillion, four hundred thirty-three billion, two hundred fifty-three million, five hundred twenty thousand, two hundred".