413847630 has 120 divisors (see below), whose sum is σ = 1294594488. Its totient is φ = 94584672.

The previous prime is 413847617. The next prime is 413847641. The reversal of 413847630 is 36748314.

413847630 is a `hidden beast` number, since 4 + 13 + 8 + 4 + 7 + 630 = 666.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 34477 + ... + 44903.

Almost surely, 2^413847630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413847630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647297244).

413847630 is an abundant number, since it is smaller than the sum of its proper divisors (880746858).

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

413847630 is a wasteful number, since it uses less digits than its factorization.

413847630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10460 (or 10444 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 413847630 is about 20343.2453163206. The cubic root of 413847630 is about 745.2125453947.

The spelling of 413847630 in words is "four hundred thirteen million, eight hundred forty-seven thousand, six hundred thirty".