193305480 has 64 divisors (see below), whose sum is σ = 585930240. Its totient is φ = 51013632.

The previous prime is 193305479. The next prime is 193305481. The reversal of 193305480 is 84503391.

It is an interprime number because it is at equal distance from previous prime (193305479) and next prime (193305481).

It is not an unprimeable number, because it can be changed into a prime (193305481) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3337 + ... + 19943.

It is an arithmetic number, because the mean of its divisors is an integer number (9155160).

Almost surely, 2^193305480 is an apocalyptic number.

193305480 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 193305480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292965120).

193305480 is an abundant number, since it is smaller than the sum of its proper divisors (392624760).

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

193305480 is a wasteful number, since it uses less digits than its factorization.

193305480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16718 (or 16714 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 193305480 is about 13903.4341081619. The cubic root of 193305480 is about 578.2043952513.

The spelling of 193305480 in words is "one hundred ninety-three million, three hundred five thousand, four hundred eighty".