1729480320 has 192 divisors, whose sum is σ = 6286831200. Its totient is φ = 436893696.

The previous prime is 1729480289. The next prime is 1729480343. The reversal of 1729480320 is 230849271.

1729480320 is a `hidden beast` number, since 172 + 9 + 480 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1729480320² = 5982204354534604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101539 + ... + 117341.

Almost surely, 2^1729480320 is an apocalyptic number.

1729480320 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 1729480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143415600).

1729480320 is an abundant number, since it is smaller than the sum of its proper divisors (4557350880).

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

1729480320 is a wasteful number, since it uses less digits than its factorization.

1729480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15847 (or 15832 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1729480320 is about 41587.0210522466. The cubic root of 1729480320 is about 1200.3425688628.

The spelling of 1729480320 in words is "one billion, seven hundred twenty-nine million, four hundred eighty thousand, three hundred twenty".