413629506 has 48 divisors (see below), whose sum is σ = 948954240. Its totient is φ = 129846240.

The previous prime is 413629481. The next prime is 413629507. The reversal of 413629506 is 605926314.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (413629507) 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, 55671 + ... + 62661.

It is an arithmetic number, because the mean of its divisors is an integer number (19769880).

Almost surely, 2^413629506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413629506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474477120).

413629506 is an abundant number, since it is smaller than the sum of its proper divisors (535324734).

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

413629506 is a wasteful number, since it uses less digits than its factorization.

413629506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7191 (or 7188 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 413629506 is about 20337.8835182032. The cubic root of 413629506 is about 745.0815975968.

The spelling of 413629506 in words is "four hundred thirteen million, six hundred twenty-nine thousand, five hundred six".