413708544 has 216 divisors, whose sum is σ = 1284384192. Its totient is φ = 127733760.

The previous prime is 413708501. The next prime is 413708591. The reversal of 413708544 is 445807314.

413708544 is a `hidden beast` number, since 41 + 3 + 70 + 8 + 544 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 413708499 and 413708508.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1960599 + ... + 1960809.

Almost surely, 2^413708544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413708544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642192096).

413708544 is an abundant number, since it is smaller than the sum of its proper divisors (870675648).

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

413708544 is a wasteful number, since it uses less digits than its factorization.

413708544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 276 counting only the distinct ones).

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

The square root of 413708544 is about 20339.8265479330. The cubic root of 413708544 is about 745.1290523100.

The spelling of 413708544 in words is "four hundred thirteen million, seven hundred eight thousand, five hundred forty-four".