414055332 has 72 divisors (see below), whose sum is σ = 1118740896. Its totient is φ = 128665344.

The previous prime is 414055309. The next prime is 414055337. The reversal of 414055332 is 233550414.

414055332 is a `hidden beast` number, since 41 + 40 + 553 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 414055296 and 414055305.

It is not an unprimeable number, because it can be changed into a prime (414055337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62323 + ... + 68645.

It is an arithmetic number, because the mean of its divisors is an integer number (15538068).

Almost surely, 2^414055332 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 414055332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559370448).

414055332 is an abundant number, since it is smaller than the sum of its proper divisors (704685564).

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

414055332 is a wasteful number, since it uses less digits than its factorization.

414055332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6457 (or 6452 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 414055332 is about 20348.3496136665. The cubic root of 414055332 is about 745.3371937258.

The spelling of 414055332 in words is "four hundred fourteen million, fifty-five thousand, three hundred thirty-two".