412113600 has 126 divisors (see below), whose sum is σ = 1464800220. Its totient is φ = 109893120.

The previous prime is 412113571. The next prime is 412113601. The reversal of 412113600 is 6311214.

It is a happy number.

412113600 is a `hidden beast` number, since 41 + 21 + 1 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (412113601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 91 + ... + 28709.

Almost surely, 2^412113600 is an apocalyptic number.

412113600 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 412113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732400110).

412113600 is an abundant number, since it is smaller than the sum of its proper divisors (1052686620).

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

412113600 is a wasteful number, since it uses less digits than its factorization.

412113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28647 (or 28629 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 412113600 is about 20300.5812724661. The cubic root of 412113600 is about 744.1702697358.

Adding to 412113600 its reverse (6311214), we get a palindrome (418424814).

The spelling of 412113600 in words is "four hundred twelve million, one hundred thirteen thousand, six hundred".