480106404366600 has 192 divisors, whose sum is σ = 1694225288355840. Its totient is φ = 111329021267200.

The previous prime is 480106404366593. The next prime is 480106404366649. The reversal of 480106404366600 is 6663404601084.

It is a self number, because there is not a number n which added to its sum of digits gives 480106404366600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1581226344 + ... + 1581529943.

It is an arithmetic number, because the mean of its divisors is an integer number (8824090043520).

Almost surely, 2^{480106404366600} is an apocalyptic number.

480106404366600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480106404366600 is an abundant number, since it is smaller than the sum of its proper divisors (1214118883989240).

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

480106404366600 is a wasteful number, since it uses less digits than its factorization.

480106404366600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162756340 (or 3162756331 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

Adding to 480106404366600 its reverse (6663404601084), we get a palindrome (486769808967684).

The spelling of 480106404366600 in words is "four hundred eighty trillion, one hundred six billion, four hundred four million, three hundred sixty-six thousand, six hundred".