450630000 has 200 divisors, whose sum is σ = 1617294800. Its totient is φ = 120096000.

The previous prime is 450629987. The next prime is 450630013. The reversal of 450630000 is 36054.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (450629987) and next prime (450630013).

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 269166 + ... + 270834.

It is an arithmetic number, because the mean of its divisors is an integer number (8086474).

Almost surely, 2^450630000 is an apocalyptic number.

450630000 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 450630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808647400).

450630000 is an abundant number, since it is smaller than the sum of its proper divisors (1166664800).

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

450630000 is a wasteful number, since it uses less digits than its factorization.

450630000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 450630000 is about 21228.0474844014. The cubic root of 450630000 is about 766.6668767065. Note that the first 3 decimals are identical.

Adding to 450630000 its reverse (36054), we get a palindrome (450666054).

The spelling of 450630000 in words is "four hundred fifty million, six hundred thirty thousand".