413631330 has 128 divisors (see below), whose sum is σ = 1209600000. Its totient is φ = 88418304.

The previous prime is 413631307. The next prime is 413631341. The reversal of 413631330 is 33136314.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 413631330.

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 63 ways as a sum of consecutive naturals, for example, 330546 + ... + 331794.

It is an arithmetic number, because the mean of its divisors is an integer number (9450000).

Almost surely, 2^413631330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413631330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800000).

413631330 is an abundant number, since it is smaller than the sum of its proper divisors (795968670).

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

413631330 is a wasteful number, since it uses less digits than its factorization.

413631330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368.

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 413631330 is about 20337.9283605779. The cubic root of 413631330 is about 745.0826928014.

Adding to 413631330 its reverse (33136314), we get a palindrome (446767644).

The spelling of 413631330 in words is "four hundred thirteen million, six hundred thirty-one thousand, three hundred thirty".