416032232 has 64 divisors (see below), whose sum is σ = 975421440. Its totient is φ = 161611200.

The previous prime is 416032217. The next prime is 416032241. The reversal of 416032232 is 232230614.

It is a junction number, because it is equal to n+sod(n) for n = 416032198 and 416032207.

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 15 ways as a sum of consecutive naturals, for example, 264713 + ... + 266279.

It is an arithmetic number, because the mean of its divisors is an integer number (15240960).

Almost surely, 2^416032232 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 416032232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487710720).

416032232 is an abundant number, since it is smaller than the sum of its proper divisors (559389208).

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

416032232 is a wasteful number, since it uses less digits than its factorization.

416032232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 416032232 is about 20396.8681909748. The cubic root of 416032232 is about 746.5215107212.

Adding to 416032232 its reverse (232230614), we get a palindrome (648262846).

The spelling of 416032232 in words is "four hundred sixteen million, thirty-two thousand, two hundred thirty-two".