480104193 has 36 divisors (see below), whose sum is σ = 686278320. Its totient is φ = 298517184.

The previous prime is 480104173. The next prime is 480104197. The reversal of 480104193 is 391401084.

It is a happy number.

It is not a de Polignac number, because 480104193 - 2¹⁸ = 479842049 is a prime.

It is a super-2 number, since 2×480104193² = 461000072272362498, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480104193.

It is not an unprimeable number, because it can be changed into a prime (480104197) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3453918 + ... + 3454056.

Almost surely, 2^480104193 is an apocalyptic number.

It is an amenable number.

480104193 is a deficient number, since it is larger than the sum of its proper divisors (206174127).

480104193 is a wasteful number, since it uses less digits than its factorization.

480104193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 480104193 is about 21911.2800401985. The cubic root of 480104193 is about 783.0301771634.

The spelling of 480104193 in words is "four hundred eighty million, one hundred four thousand, one hundred ninety-three".