413845536 has 192 divisors, whose sum is σ = 1273466880. Its totient is φ = 116536320.

The previous prime is 413845519. The next prime is 413845559. The reversal of 413845536 is 635548314.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 413845494 and 413845503.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 734791 + ... + 735353.

It is an arithmetic number, because the mean of its divisors is an integer number (6632640).

Almost surely, 2^413845536 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 413845536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636733440).

413845536 is an abundant number, since it is smaller than the sum of its proper divisors (859621344).

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

413845536 is a wasteful number, since it uses less digits than its factorization.

413845536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 631 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 413845536 is about 20343.1938495409. The cubic root of 413845536 is about 745.2112885088.

The spelling of 413845536 in words is "four hundred thirteen million, eight hundred forty-five thousand, five hundred thirty-six".