450324000 has 288 divisors, whose sum is σ = 1827536256. Its totient is φ = 102873600.

The previous prime is 450323989. The next prime is 450324013. The reversal of 450324000 is 423054.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251107 + ... + 252893.

It is an arithmetic number, because the mean of its divisors is an integer number (6345612).

Almost surely, 2^450324000 is an apocalyptic number.

450324000 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 450324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913768128).

450324000 is an abundant number, since it is smaller than the sum of its proper divisors (1377212256).

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

450324000 is a wasteful number, since it uses less digits than its factorization.

450324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 450324000 is about 21220.8388147123. The cubic root of 450324000 is about 766.4933025356.

Adding to 450324000 its reverse (423054), we get a palindrome (450747054).

The spelling of 450324000 in words is "four hundred fifty million, three hundred twenty-four thousand".