450006144 has 64 divisors (see below), whose sum is σ = 1366098240. Its totient is φ = 128572416.

The previous prime is 450006143. The next prime is 450006187. The reversal of 450006144 is 441600054.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (450006143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81019 + ... + 86394.

It is an arithmetic number, because the mean of its divisors is an integer number (21345285).

Almost surely, 2^450006144 is an apocalyptic number.

It is an amenable number.

450006144 is an abundant number, since it is smaller than the sum of its proper divisors (916092096).

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

450006144 is a wasteful number, since it uses less digits than its factorization.

450006144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167437 (or 167425 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 450006144 is about 21213.3482505709. The cubic root of 450006144 is about 766.3129199371.

Adding to 450006144 its reverse (441600054), we get a palindrome (891606198).

The spelling of 450006144 in words is "four hundred fifty million, six thousand, one hundred forty-four".