450021000 has 256 divisors, whose sum is σ = 1651104000. Its totient is φ = 100608000.

The previous prime is 450020999. The next prime is 450021001. The reversal of 450021000 is 120054.

It is an interprime number because it is at equal distance from previous prime (450020999) and next prime (450021001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (450021001) 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 63 ways as a sum of consecutive naturals, for example, 428476 + ... + 429524.

It is an arithmetic number, because the mean of its divisors is an integer number (6449625).

Almost surely, 2^450021000 is an apocalyptic number.

450021000 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 450021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825552000).

450021000 is an abundant number, since it is smaller than the sum of its proper divisors (1201083000).

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

450021000 is a wasteful number, since it uses less digits than its factorization.

450021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 450021000 is about 21213.6984045687. The cubic root of 450021000 is about 766.3213525771.

Adding to 450021000 its reverse (120054), we get a palindrome (450141054).

The spelling of 450021000 in words is "four hundred fifty million, twenty-one thousand".