413031332 has 48 divisors (see below), whose sum is σ = 878314752. Its totient is φ = 166108800.

The previous prime is 413031287. The next prime is 413031373. The reversal of 413031332 is 233130314.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28082 + ... + 40182.

It is an arithmetic number, because the mean of its divisors is an integer number (18298224).

Almost surely, 2^413031332 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 413031332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439157376).

413031332 is an abundant number, since it is smaller than the sum of its proper divisors (465283420).

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

413031332 is a wasteful number, since it uses less digits than its factorization.

413031332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12188 (or 12186 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 413031332 is about 20323.1722917462. The cubic root of 413031332 is about 744.7222555195.

Adding to 413031332 its reverse (233130314), we get a palindrome (646161646).

The spelling of 413031332 in words is "four hundred thirteen million, thirty-one thousand, three hundred thirty-two".