413031388 has 144 divisors (see below), whose sum is σ = 992839680. Its totient is φ = 148108800.

The previous prime is 413031373. The next prime is 413031389. The reversal of 413031388 is 883130314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413031389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2162373 + ... + 2162563.

It is an arithmetic number, because the mean of its divisors is an integer number (6894720).

Almost surely, 2^413031388 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 413031388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496419840).

413031388 is an abundant number, since it is smaller than the sum of its proper divisors (579808292).

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

413031388 is a wasteful number, since it uses less digits than its factorization.

413031388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 413031388 is about 20323.1736694838. The cubic root of 413031388 is about 744.7222891767.

The spelling of 413031388 in words is "four hundred thirteen million, thirty-one thousand, three hundred eighty-eight".