450006000 has 160 divisors (see below), whose sum is σ = 1462406400. Its totient is φ = 119046400.

The previous prime is 450005993. The next prime is 450006061. The reversal of 450006000 is 600054.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1073791 + ... + 1074209.

It is an arithmetic number, because the mean of its divisors is an integer number (9140040).

Almost surely, 2^450006000 is an apocalyptic number.

450006000 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 450006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731203200).

450006000 is an abundant number, since it is smaller than the sum of its proper divisors (1012400400).

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

450006000 is a wasteful number, since it uses less digits than its factorization.

450006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 450006000 is about 21213.3448564813. The cubic root of 450006000 is about 766.3128381981.

Adding to 450006000 its reverse (600054), we get a palindrome (450606054).

The spelling of 450006000 in words is "four hundred fifty million, six thousand".