450712900 has 81 divisors (see below), whose sum is σ = 1080642423. Its totient is φ = 163046400.

The previous prime is 450712897. The next prime is 450712903. The reversal of 450712900 is 9217054.

It is a happy number.

The square root of 450712900 is 21230.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (450712897) and next prime (450712903).

It can be written as a sum of positive squares in 4 ways, for example, as 72488196 + 378224704 = 8514^2 + 19448^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (450712903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2335204 + ... + 2335396.

Almost surely, 2^450712900 is an apocalyptic number.

450712900 is the 21230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450712900

450712900 is an abundant number, since it is smaller than the sum of its proper divisors (629929523).

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

450712900 is a wasteful number, since it uses less digits than its factorization.

450712900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The cubic root of 450712900 is about 766.7138870306.

Adding to 450712900 its reverse (9217054), we get a palindrome (459929954).

The spelling of 450712900 in words is "four hundred fifty million, seven hundred twelve thousand, nine hundred".