414332112 has 80 divisors (see below), whose sum is σ = 1109706752. Its totient is φ = 133073280.

The previous prime is 414332003. The next prime is 414332137. The reversal of 414332112 is 211233414.

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

It is a congruent number.

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, 456363 + ... + 457269.

Almost surely, 2^414332112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554853376).

414332112 is an abundant number, since it is smaller than the sum of its proper divisors (695374640).

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

414332112 is a wasteful number, since it uses less digits than its factorization.

414332112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1250 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 414332112 is about 20355.1495204530. The cubic root of 414332112 is about 745.5032331115.

Adding to 414332112 its reverse (211233414), we get a palindrome (625565526).

The spelling of 414332112 in words is "four hundred fourteen million, three hundred thirty-two thousand, one hundred twelve".