1609095456 has 168 divisors, whose sum is σ = 4957848000. Its totient is φ = 512873856.

The previous prime is 1609095451. The next prime is 1609095469. The reversal of 1609095456 is 6545909061.

It is a happy number.

1609095456 is a `hidden beast` number, since 16 + 0 + 90 + 9 + 545 + 6 = 666.

1609095456 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1609095451) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 535045 + ... + 538043.

It is an arithmetic number, because the mean of its divisors is an integer number (29511000).

Almost surely, 2^1609095456 is an apocalyptic number.

1609095456 is a gapful number since it is divisible by the number (16) 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 1609095456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478924000).

1609095456 is an abundant number, since it is smaller than the sum of its proper divisors (3348752544).

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

1609095456 is an equidigital number, since it uses as much as digits as its factorization.

1609095456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050 (or 3027 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 1609095456 is about 40113.5320808328. The cubic root of 1609095456 is about 1171.8191818021.

The spelling of 1609095456 in words is "one billion, six hundred nine million, ninety-five thousand, four hundred fifty-six".