450530400 has 72 divisors (see below), whose sum is σ = 1466484264. Its totient is φ = 120140800.

The previous prime is 450530303. The next prime is 450530407. The reversal of 450530400 is 4035054.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450530407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91461 + ... + 96260.

It is an arithmetic number, because the mean of its divisors is an integer number (20367837).

Almost surely, 2^450530400 is an apocalyptic number.

450530400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450530400 is an abundant number, since it is smaller than the sum of its proper divisors (1015953864).

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

450530400 is a wasteful number, since it uses less digits than its factorization.

450530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187744 (or 187731 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 450530400 is about 21225.7014018383. The cubic root of 450530400 is about 766.6103886436.

Adding to 450530400 its reverse (4035054), we get a palindrome (454565454).

The spelling of 450530400 in words is "four hundred fifty million, five hundred thirty thousand, four hundred".