412419168 has 384 divisors, whose sum is σ = 1501516800. Its totient is φ = 107495424.

The previous prime is 412419127. The next prime is 412419169. The reversal of 412419168 is 861914214.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412419169) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4251696 + ... + 4251792.

It is an arithmetic number, because the mean of its divisors is an integer number (3910200).

Almost surely, 2^412419168 is an apocalyptic number.

412419168 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 412419168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750758400).

412419168 is an abundant number, since it is smaller than the sum of its proper divisors (1089097632).

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

412419168 is a wasteful number, since it uses less digits than its factorization.

412419168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 165 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 412419168 is about 20308.1059678149. The cubic root of 412419168 is about 744.3541498135.

The spelling of 412419168 in words is "four hundred twelve million, four hundred nineteen thousand, one hundred sixty-eight".