414482112 has 252 divisors, whose sum is σ = 1378981240. Its totient is φ = 118609920.

The previous prime is 414482077. The next prime is 414482171. The reversal of 414482112 is 211284414.

414482112 is a `hidden beast` number, since 4 + 1 + 448 + 211 + 2 = 666.

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 35 ways as a sum of consecutive naturals, for example, 1324068 + ... + 1324380.

Almost surely, 2^414482112 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 414482112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689490620).

414482112 is an abundant number, since it is smaller than the sum of its proper divisors (964499128).

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

414482112 is a wasteful number, since it uses less digits than its factorization.

414482112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 348 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 414482112 is about 20358.8337583468. The cubic root of 414482112 is about 745.5931867098.

The spelling of 414482112 in words is "four hundred fourteen million, four hundred eighty-two thousand, one hundred twelve".