450525324000 has 384 divisors, whose sum is σ = 1530276209280. Its totient is φ = 115734528000.

The previous prime is 450525323987. The next prime is 450525324023. The reversal of 450525324000 is 423525054.

It is a super-3 number, since 3×450525324000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188266804 + ... + 188269196.

It is an arithmetic number, because the mean of its divisors is an integer number (3985094295).

Almost surely, 2^450525324000 is an apocalyptic number.

450525324000 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 450525324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765138104640).

450525324000 is an abundant number, since it is smaller than the sum of its proper divisors (1079750885280).

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

450525324000 is a wasteful number, since it uses less digits than its factorization.

450525324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 450525324000 its reverse (423525054), we get a palindrome (450948849054).

The spelling of 450525324000 in words is "four hundred fifty billion, five hundred twenty-five million, three hundred twenty-four thousand".