1705249920 has 256 divisors, whose sum is σ = 5971553280. Its totient is φ = 410480640.

The previous prime is 1705249907. The next prime is 1705249921. The reversal of 1705249920 is 299425071.

It is not an unprimeable number, because it can be changed into a prime (1705249921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5554407 + ... + 5554713.

It is an arithmetic number, because the mean of its divisors is an integer number (23326380).

Almost surely, 2^1705249920 is an apocalyptic number.

1705249920 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 1705249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985776640).

1705249920 is an abundant number, since it is smaller than the sum of its proper divisors (4266303360).

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

1705249920 is a wasteful number, since it uses less digits than its factorization.

1705249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 1705249920 is about 41294.6718112640. The cubic root of 1705249920 is about 1194.7104963281.

The spelling of 1705249920 in words is "one billion, seven hundred five million, two hundred forty-nine thousand, nine hundred twenty".