414231168 has 128 divisors (see below), whose sum is σ = 1194379200. Its totient is φ = 127196160.

The previous prime is 414231151. The next prime is 414231211. The reversal of 414231168 is 861132414.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 843403 + ... + 843893.

Almost surely, 2^414231168 is an apocalyptic number.

414231168 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 414231168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597189600).

414231168 is an abundant number, since it is smaller than the sum of its proper divisors (780148032).

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

414231168 is an equidigital number, since it uses as much as digits as its factorization.

414231168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 509 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 414231168 is about 20352.6698002989. The cubic root of 414231168 is about 745.4426857162.

The spelling of 414231168 in words is "four hundred fourteen million, two hundred thirty-one thousand, one hundred sixty-eight".