1609309845 has 192 divisors, whose sum is σ = 3555062784. Its totient is φ = 661340160.

The previous prime is 1609309829. The next prime is 1609309903. The reversal of 1609309845 is 5489039061.

It is a happy number.

1609309845 is a `hidden beast` number, since 1 + 609 + 30 + 9 + 8 + 4 + 5 = 666.

It is not a de Polignac number, because 1609309845 - 2⁴ = 1609309829 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1609309845.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 5141409 + ... + 5141721.

It is an arithmetic number, because the mean of its divisors is an integer number (18515952).

Almost surely, 2^1609309845 is an apocalyptic number.

1609309845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1609309845 is an abundant number, since it is smaller than the sum of its proper divisors (1945752939).

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

1609309845 is a wasteful number, since it uses less digits than its factorization.

1609309845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1609309845 is about 40116.2042695966. The cubic root of 1609309845 is about 1171.8712222172.

The spelling of 1609309845 in words is "one billion, six hundred nine million, three hundred nine thousand, eight hundred forty-five".