412708584960 has 1920 divisors, whose sum is σ = 1825707147264. Its totient is φ = 84085309440.

The previous prime is 412708584901. The next prime is 412708584989. The reversal of 412708584960 is 69485807214.

It is a happy number.

412708584960 is a `hidden beast` number, since 4 + 1 + 2 + 70 + 85 + 8 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a junction number, because it is equal to n+sod(n) for n = 412708584897 and 412708584906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4254727632 + ... + 4254727728.

Almost surely, 2^412708584960 is an apocalyptic number.

412708584960 is a gapful number since it is divisible by the number (40) 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 412708584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912853573632).

412708584960 is an abundant number, since it is smaller than the sum of its proper divisors (1412998562304).

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

412708584960 is a wasteful number, since it uses less digits than its factorization.

412708584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 412708584960 in words is "four hundred twelve billion, seven hundred eight million, five hundred eighty-four thousand, nine hundred sixty".