414411032 has 96 divisors (see below), whose sum is σ = 937681920. Its totient is φ = 171097920.

The previous prime is 414410977. The next prime is 414411047. The reversal of 414411032 is 230114414.

It is a junction number, because it is equal to n+sod(n) for n = 414410995 and 414411013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1529057 + ... + 1529327.

It is an arithmetic number, because the mean of its divisors is an integer number (9767520).

Almost surely, 2^414411032 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 414411032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468840960).

414411032 is an abundant number, since it is smaller than the sum of its proper divisors (523270888).

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

414411032 is a wasteful number, since it uses less digits than its factorization.

414411032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 410 counting only the distinct ones).

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

The square root of 414411032 is about 20357.0880039361. The cubic root of 414411032 is about 745.5505634039.

Adding to 414411032 its reverse (230114414), we get a palindrome (644525446).

The spelling of 414411032 in words is "four hundred fourteen million, four hundred eleven thousand, thirty-two".