1608782448 has 240 divisors, whose sum is σ = 5328992256. Its totient is φ = 406840320.

The previous prime is 1608782419. The next prime is 1608782501. The reversal of 1608782448 is 8442878061.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1608782397 and 1608782406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14759418 + ... + 14759526.

Almost surely, 2^1608782448 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 1608782448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664496128).

1608782448 is an abundant number, since it is smaller than the sum of its proper divisors (3720209808).

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

1608782448 is a wasteful number, since it uses less digits than its factorization.

1608782448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The square root of 1608782448 is about 40109.6303647890. The cubic root of 1608782448 is about 1171.7431944800.

The spelling of 1608782448 in words is "one billion, six hundred eight million, seven hundred eighty-two thousand, four hundred forty-eight".