193368480 has 48 divisors (see below), whose sum is σ = 609112224. Its totient is φ = 51564800.

The previous prime is 193368479. The next prime is 193368493. The reversal of 193368480 is 84863391.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200946 + ... + 201905.

It is an arithmetic number, because the mean of its divisors is an integer number (12689838).

Almost surely, 2^193368480 is an apocalyptic number.

193368480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

193368480 is an abundant number, since it is smaller than the sum of its proper divisors (415743744).

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

193368480 is a wasteful number, since it uses less digits than its factorization.

193368480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402869 (or 402861 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 193368480 is about 13905.6995509036. The cubic root of 193368480 is about 578.2672024384.

The spelling of 193368480 in words is "one hundred ninety-three million, three hundred sixty-eight thousand, four hundred eighty".