450519805152 has 72 divisors (see below), whose sum is σ = 1282338747144. Its totient is φ = 150035768064.

The previous prime is 450519805139. The next prime is 450519805223. The reversal of 450519805152 is 251508915054.

450519805152 is a `hidden beast` number, since 4 + 5 + 0 + 51 + 9 + 80 + 515 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 450519805098 and 450519805107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 400818 + ... + 1030385.

It is an arithmetic number, because the mean of its divisors is an integer number (17810260377).

Almost surely, 2^450519805152 is an apocalyptic number.

It is an amenable number.

450519805152 is an abundant number, since it is smaller than the sum of its proper divisors (831818941992).

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

450519805152 is a wasteful number, since it uses less digits than its factorization.

450519805152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432312 (or 1432301 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 45.

The spelling of 450519805152 in words is "four hundred fifty billion, five hundred nineteen million, eight hundred five thousand, one hundred fifty-two".