412527168 has 280 divisors, whose sum is σ = 1345411584. Its totient is φ = 124416000.

The previous prime is 412527113. The next prime is 412527169. The reversal of 412527168 is 861725214.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (412527169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2731893 + ... + 2732043.

Almost surely, 2^412527168 is an apocalyptic number.

412527168 is a gapful number since it is divisible by the number (48) 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 412527168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672705792).

412527168 is an abundant number, since it is smaller than the sum of its proper divisors (932884416).

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

412527168 is a wasteful number, since it uses less digits than its factorization.

412527168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 204 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 412527168 is about 20310.7648305031. The cubic root of 412527168 is about 744.4191186916.

The spelling of 412527168 in words is "four hundred twelve million, five hundred twenty-seven thousand, one hundred sixty-eight".