414014132 has 36 divisors (see below), whose sum is σ = 848050560. Its totient is φ = 176332464.

The previous prime is 414014131. The next prime is 414014147. The reversal of 414014132 is 231410414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414014131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25469 + ... + 38427.

It is an arithmetic number, because the mean of its divisors is an integer number (23556960).

Almost surely, 2^414014132 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 414014132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424025280).

414014132 is an abundant number, since it is smaller than the sum of its proper divisors (434036428).

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

414014132 is a wasteful number, since it uses less digits than its factorization.

414014132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13140 (or 13131 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 414014132 is about 20347.3372213663. The cubic root of 414014132 is about 745.3124716588.

Adding to 414014132 its reverse (231410414), we get a palindrome (645424546).

The spelling of 414014132 in words is "four hundred fourteen million, fourteen thousand, one hundred thirty-two".