1609817472 has 96 divisors (see below), whose sum is σ = 4833906480. Its totient is φ = 513266688.

The previous prime is 1609817471. The next prime is 1609817491. The reversal of 1609817472 is 2747189061.

It is a happy number.

1609817472 is a `hidden beast` number, since 160 + 9 + 8 + 17 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1609817471) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3883 + ... + 56874.

Almost surely, 2^1609817472 is an apocalyptic number.

1609817472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1609817472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416953240).

1609817472 is an abundant number, since it is smaller than the sum of its proper divisors (3224089008).

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

1609817472 is a wasteful number, since it uses less digits than its factorization.

1609817472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60800 (or 60785 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1609817472 is about 40122.5307277594. The cubic root of 1609817472 is about 1171.9944242921.

The spelling of 1609817472 in words is "one billion, six hundred nine million, eight hundred seventeen thousand, four hundred seventy-two".