809560440 has 384 divisors, whose sum is σ = 3065832000. Its totient is φ = 188863488.

The previous prime is 809560429. The next prime is 809560469. The reversal of 809560440 is 44065908.

809560440 is a `hidden beast` number, since 8 + 0 + 9 + 5 + 604 + 40 = 666.

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 = 809560395 and 809560404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7427106 + ... + 7427214.

Almost surely, 2^809560440 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 809560440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532916000).

809560440 is an abundant number, since it is smaller than the sum of its proper divisors (2256271560).

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

809560440 is a wasteful number, since it uses less digits than its factorization.

809560440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 809560440 is about 28452.7756115287. The cubic root of 809560440 is about 932.0011021250.

It can be divided in two parts, 809560 and 440, that added together give a 4-th power (810000 = 30⁴).

The spelling of 809560440 in words is "eight hundred nine million, five hundred sixty thousand, four hundred forty".