413524460412 has 120 divisors (see below), whose sum is σ = 1236073718880. Its totient is φ = 118091934720.

The previous prime is 413524460411. The next prime is 413524460423. The reversal of 413524460412 is 214064425314.

413524460412 is a `hidden beast` number, since 4 + 1 + 3 + 5 + 2 + 44 + 604 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413524460411) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4694212 + ... + 4781492.

It is an arithmetic number, because the mean of its divisors is an integer number (10300614324).

Almost surely, 2^413524460412 is an apocalyptic number.

413524460412 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413524460412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618036859440).

413524460412 is an abundant number, since it is smaller than the sum of its proper divisors (822549258468).

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

413524460412 is a wasteful number, since it uses less digits than its factorization.

413524460412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89393 (or 89382 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 413524460412 its reverse (214064425314), we get a palindrome (627588885726).

The spelling of 413524460412 in words is "four hundred thirteen billion, five hundred twenty-four million, four hundred sixty thousand, four hundred twelve".