450513000 has 192 divisors, whose sum is σ = 1740510720. Its totient is φ = 102960000.

The previous prime is 450512989. The next prime is 450513013. The reversal of 450513000 is 315054.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 59425 + ... + 66575.

It is an arithmetic number, because the mean of its divisors is an integer number (9065160).

Almost surely, 2^450513000 is an apocalyptic number.

450513000 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 450513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870255360).

450513000 is an abundant number, since it is smaller than the sum of its proper divisors (1289997720).

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

450513000 is a wasteful number, since it uses less digits than its factorization.

450513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7185 (or 7168 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 450513000 is about 21225.2915174327. The cubic root of 450513000 is about 766.6005193928.

Adding to 450513000 its reverse (315054), we get a palindrome (450828054).

The spelling of 450513000 in words is "four hundred fifty million, five hundred thirteen thousand".