1705408848 has 180 divisors, whose sum is σ = 5650406580. Its totient is φ = 476974080.

The previous prime is 1705408841. The next prime is 1705408849. The reversal of 1705408848 is 8488045071.

It can be written as a sum of positive squares in 2 ways, for example, as 397284624 + 1308124224 = 19932^2 + 36168^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1705408841) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 222748 + ... + 230276.

Almost surely, 2^1705408848 is an apocalyptic number.

1705408848 is a gapful number since it is divisible by the number (18) 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 1705408848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825203290).

1705408848 is an abundant number, since it is smaller than the sum of its proper divisors (3944997732).

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

1705408848 is a wasteful number, since it uses less digits than its factorization.

1705408848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7578 (or 7558 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 1705408848 is about 41296.5960824860. The cubic root of 1705408848 is about 1194.7476105460.

The spelling of 1705408848 in words is "one billion, seven hundred five million, four hundred eight thousand, eight hundred forty-eight".