450075300 has 72 divisors (see below), whose sum is σ = 1312582656. Its totient is φ = 119064960.

The previous prime is 450075239. The next prime is 450075341. The reversal of 450075300 is 3570054.

It is a super-3 number, since 3×450075300³ (a number of 27 digits) contains 333 as substring.

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, 32194 + ... + 44006.

Almost surely, 2^450075300 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 450075300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656291328).

450075300 is an abundant number, since it is smaller than the sum of its proper divisors (862507356).

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

450075300 is a wasteful number, since it uses less digits than its factorization.

450075300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11957 (or 11950 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 450075300 is about 21214.9781993760. The cubic root of 450075300 is about 766.3521730469.

It can be divided in two parts, 4500 and 75300, that added together give a triangular number (79800 = T₃₉₉).

The spelling of 450075300 in words is "four hundred fifty million, seventy-five thousand, three hundred".