413511630 has 128 divisors (see below), whose sum is σ = 1226603520. Its totient is φ = 87091200.

The previous prime is 413511617. The next prime is 413511643. The reversal of 413511630 is 36115314.

It is an interprime number because it is at equal distance from previous prime (413511617) and next prime (413511643).

It is a self number, because there is not a number n which added to its sum of digits gives 413511630.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 146230 + ... + 149030.

It is an arithmetic number, because the mean of its divisors is an integer number (9582840).

Almost surely, 2^413511630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413511630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613301760).

413511630 is an abundant number, since it is smaller than the sum of its proper divisors (813091890).

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

413511630 is a wasteful number, since it uses less digits than its factorization.

413511630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 413511630 is about 20334.9853700464. The cubic root of 413511630 is about 745.0108131698.

Adding to 413511630 its reverse (36115314), we get a palindrome (449626944).

The spelling of 413511630 in words is "four hundred thirteen million, five hundred eleven thousand, six hundred thirty".