450146600 has 48 divisors (see below), whose sum is σ = 1048057920. Its totient is φ = 179806400.

The previous prime is 450146591. The next prime is 450146611. The reversal of 450146600 is 6641054.

It is a happy number.

It is a super-2 number, since 2×450146600² = 405263922983120000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 450146600.

It is an unprimeable number.

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, 217169 + ... + 219231.

It is an arithmetic number, because the mean of its divisors is an integer number (21834540).

Almost surely, 2^450146600 is an apocalyptic number.

450146600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450146600 is an abundant number, since it is smaller than the sum of its proper divisors (597911320).

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

450146600 is a wasteful number, since it uses less digits than its factorization.

450146600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170 (or 3161 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 450146600 is about 21216.6585493569. The cubic root of 450146600 is about 766.3926388866.

Adding to 450146600 its reverse (6641054), we get a palindrome (456787654).

The spelling of 450146600 in words is "four hundred fifty million, one hundred forty-six thousand, six hundred".