450482592400 has 135 divisors (see below), whose sum is σ = 1113553655739. Its totient is φ = 175129655040.

The previous prime is 450482592397. The next prime is 450482592401. The reversal of 450482592400 is 4295284054.

The square root of 450482592400 is 671180.

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

It can be written as a sum of positive squares in 4 ways, for example, as 42764585616 + 407718006784 = 206796^2 + 638528^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (450482592401) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 496672747 + ... + 496673653.

Almost surely, 2^450482592400 is an apocalyptic number.

450482592400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

450482592400 is the 671180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450482592400

450482592400 is an abundant number, since it is smaller than the sum of its proper divisors (663071063339).

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

450482592400 is an frugal number, since it uses more digits than its factorization.

450482592400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The spelling of 450482592400 in words is "four hundred fifty billion, four hundred eighty-two million, five hundred ninety-two thousand, four hundred".