415190474960 has 80 divisors (see below), whose sum is σ = 971321760000. Its totient is φ = 165046092288.

The previous prime is 415190474927. The next prime is 415190474981. The reversal of 415190474960 is 69474091514.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 415190474899 and 415190474908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9519122 + ... + 9562638.

It is an arithmetic number, because the mean of its divisors is an integer number (12141522000).

Almost surely, 2^415190474960 is an apocalyptic number.

415190474960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415190474960 is an abundant number, since it is smaller than the sum of its proper divisors (556131285040).

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

415190474960 is a wasteful number, since it uses less digits than its factorization.

415190474960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44268 (or 44262 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 50.

The spelling of 415190474960 in words is "four hundred fifteen billion, one hundred ninety million, four hundred seventy-four thousand, nine hundred sixty".