1608949440 has 448 divisors, whose sum is σ = 6671462400. Its totient is φ = 357322752.

The previous prime is 1608949417. The next prime is 1608949451. The reversal of 1608949440 is 449498061.

1608949440 is a `hidden beast` number, since 160 + 8 + 9 + 49 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2237401 + ... + 2238119.

Almost surely, 2^1608949440 is an apocalyptic number.

1608949440 is a gapful number since it is divisible by the number (10) 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 1608949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335731200).

1608949440 is an abundant number, since it is smaller than the sum of its proper divisors (5062512960).

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

1608949440 is a wasteful number, since it uses less digits than its factorization.

1608949440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1608949440 is about 40111.7120053483. The cubic root of 1608949440 is about 1171.7837354846.

The spelling of 1608949440 in words is "one billion, six hundred eight million, nine hundred forty-nine thousand, four hundred forty".