450187321600 has 81 divisors (see below), whose sum is σ = 1114416837037. Its totient is φ = 180053457920.

The previous prime is 450187321579. The next prime is 450187321609. The reversal of 450187321600 is 6123781054.

The square root of 450187321600 is 670960.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 162067435776 + 288119885824 = 402576^2 + 536768^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 450187321600.

It is not an unprimeable number, because it can be changed into a prime (450187321609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53672607 + ... + 53680993.

Almost surely, 2^450187321600 is an apocalyptic number.

450187321600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

450187321600 is the 670960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450187321600

450187321600 is an abundant number, since it is smaller than the sum of its proper divisors (664229515437).

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

450187321600 is an frugal number, since it uses more digits than its factorization.

450187321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16800 (or 8394 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 450187321600 in words is "four hundred fifty billion, one hundred eighty-seven million, three hundred twenty-one thousand, six hundred".