1730805440 has 224 divisors, whose sum is σ = 5180380800. Its totient is φ = 547319808.

The previous prime is 1730805431. The next prime is 1730805443. The reversal of 1730805440 is 445080371.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1730805440² = 5991374942267187200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1730805397 and 1730805406.

It is not an unprimeable number, because it can be changed into a prime (1730805443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1426274 + ... + 1427486.

It is an arithmetic number, because the mean of its divisors is an integer number (23126700).

Almost surely, 2^1730805440 is an apocalyptic number.

1730805440 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 1730805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590190400).

1730805440 is an abundant number, since it is smaller than the sum of its proper divisors (3449575360).

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

1730805440 is a wasteful number, since it uses less digits than its factorization.

1730805440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 1730805440 is about 41602.9498954101. The cubic root of 1730805440 is about 1200.6490562824.

The spelling of 1730805440 in words is "one billion, seven hundred thirty million, eight hundred five thousand, four hundred forty".