414041232 has 80 divisors (see below), whose sum is σ = 1186709760. Its totient is φ = 123331200.

The previous prime is 414041227. The next prime is 414041237. The reversal of 414041232 is 232140414.

It is an interprime number because it is at equal distance from previous prime (414041227) and next prime (414041237).

It is a super-3 number, since 3×414041232³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414041199 and 414041208.

It is not an unprimeable number, because it can be changed into a prime (414041237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24507 + ... + 37797.

It is an arithmetic number, because the mean of its divisors is an integer number (14833872).

Almost surely, 2^414041232 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 414041232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593354880).

414041232 is an abundant number, since it is smaller than the sum of its proper divisors (772668528).

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

414041232 is a wasteful number, since it uses less digits than its factorization.

414041232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13372 (or 13366 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 414041232 is about 20348.0031452720. The cubic root of 414041232 is about 745.3287332030.

Adding to 414041232 its reverse (232140414), we get a palindrome (646181646).

The spelling of 414041232 in words is "four hundred fourteen million, forty-one thousand, two hundred thirty-two".