450215807904 has 192 divisors, whose sum is σ = 1326395347200. Its totient is φ = 148558427136.

The previous prime is 450215807891. The next prime is 450215807929. The reversal of 450215807904 is 409708512054.

450215807904 is a `hidden beast` number, since 4 + 502 + 1 + 58 + 0 + 7 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 450215807904.

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 31 ways as a sum of consecutive naturals, for example, 185808037 + ... + 185810459.

It is an arithmetic number, because the mean of its divisors is an integer number (6908309100).

Almost surely, 2^450215807904 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 450215807904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663197673600).

450215807904 is an abundant number, since it is smaller than the sum of its proper divisors (876179539296).

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

450215807904 is a wasteful number, since it uses less digits than its factorization.

450215807904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524 (or 4510 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 450215807904 in words is "four hundred fifty billion, two hundred fifteen million, eight hundred seven thousand, nine hundred four".