412108560 has 480 divisors, whose sum is σ = 1608647040. Its totient is φ = 97542144.

The previous prime is 412108493. The next prime is 412108561. The reversal of 412108560 is 65801214.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (412108561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9583899 + ... + 9583941.

It is an arithmetic number, because the mean of its divisors is an integer number (3351348).

Almost surely, 2^412108560 is an apocalyptic number.

412108560 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 412108560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804323520).

412108560 is an abundant number, since it is smaller than the sum of its proper divisors (1196538480).

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

412108560 is a wasteful number, since it uses less digits than its factorization.

412108560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 412108560 is about 20300.4571377100. The cubic root of 412108560 is about 744.1672360792.

Adding to 412108560 its reverse (65801214), we get a palindrome (477909774).

It can be divided in two parts, 41210 and 8560, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 412108560 in words is "four hundred twelve million, one hundred eight thousand, five hundred sixty".