809362809450 has 504 divisors, whose sum is σ = 2475076709952. Its totient is φ = 196703095680.

The previous prime is 809362809443. The next prime is 809362809461. The reversal of 809362809450 is 54908263908.

809362809450 is a `hidden beast` number, since 8 + 0 + 9 + 3 + 628 + 0 + 9 + 4 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 251 ways as a sum of consecutive naturals, for example, 511283359 + ... + 511284941.

It is an arithmetic number, because the mean of its divisors is an integer number (4910866488).

Almost surely, 2^809362809450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809362809450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237538354976).

809362809450 is an abundant number, since it is smaller than the sum of its proper divisors (1665713900502).

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

809362809450 is a wasteful number, since it uses less digits than its factorization.

809362809450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 809362809450 in words is "eight hundred nine billion, three hundred sixty-two million, eight hundred nine thousand, four hundred fifty".