450391302144 has 672 divisors, whose sum is σ = 1634043041280. Its totient is φ = 116551581696.

The previous prime is 450391302107. The next prime is 450391302169. The reversal of 450391302144 is 441203193054.

450391302144 is a `hidden beast` number, since 4 + 50 + 391 + 3 + 0 + 214 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 450391302099 and 450391302108.

It is a congruent number.

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, 225532954 + ... + 225534950.

Almost surely, 2^450391302144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450391302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817021520640).

450391302144 is an abundant number, since it is smaller than the sum of its proper divisors (1183651739136).

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

450391302144 is a wasteful number, since it uses less digits than its factorization.

450391302144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 450391302144 its reverse (441203193054), we get a palindrome (891594495198).

The spelling of 450391302144 in words is "four hundred fifty billion, three hundred ninety-one million, three hundred two thousand, one hundred forty-four".