412306560 has 192 divisors, whose sum is σ = 1454993280. Its totient is φ = 107538432.

The previous prime is 412306553. The next prime is 412306589. The reversal of 412306560 is 65603214.

412306560 is a `hidden beast` number, since 4 + 1 + 2 + 3 + 0 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269959 + ... + 271481.

It is an arithmetic number, because the mean of its divisors is an integer number (7578090).

Almost surely, 2^412306560 is an apocalyptic number.

412306560 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 412306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727496640).

412306560 is an abundant number, since it is smaller than the sum of its proper divisors (1042686720).

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

412306560 is a wasteful number, since it uses less digits than its factorization.

412306560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 412306560 is about 20305.3332895572. Note that the first 3 decimals coincide. The cubic root of 412306560 is about 744.2863968503.

Adding to 412306560 its reverse (65603214), we get a palindrome (477909774).

The spelling of 412306560 in words is "four hundred twelve million, three hundred six thousand, five hundred sixty".