413528742 has 48 divisors (see below), whose sum is σ = 989247168. Its totient is φ = 123797040.

The previous prime is 413528741. The next prime is 413528743. The reversal of 413528742 is 247825314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (413528741) and next prime (413528743).

It is a junction number, because it is equal to n+sod(n) for n = 413528697 and 413528706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413528741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3853 + ... + 29015.

It is an arithmetic number, because the mean of its divisors is an integer number (20609316).

Almost surely, 2^413528742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413528742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494623584).

413528742 is an abundant number, since it is smaller than the sum of its proper divisors (575718426).

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

413528742 is a wasteful number, since it uses less digits than its factorization.

413528742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25265 (or 25262 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 413528742 is about 20335.4061183936. The cubic root of 413528742 is about 745.0210897443.

The spelling of 413528742 in words is "four hundred thirteen million, five hundred twenty-eight thousand, seven hundred forty-two".