413780744 has 64 divisors (see below), whose sum is σ = 868338240. Its totient is φ = 183617280.

The previous prime is 413780707. The next prime is 413780761. The reversal of 413780744 is 447087314.

It is a junction number, because it is equal to n+sod(n) for n = 413780698 and 413780707.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298934 + ... + 300314.

It is an arithmetic number, because the mean of its divisors is an integer number (13567785).

Almost surely, 2^413780744 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 413780744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434169120).

413780744 is an abundant number, since it is smaller than the sum of its proper divisors (454557496).

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

413780744 is a wasteful number, since it uses less digits than its factorization.

413780744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 413780744 is about 20341.6013135643. The cubic root of 413780744 is about 745.1723961802.

The spelling of 413780744 in words is "four hundred thirteen million, seven hundred eighty thousand, seven hundred forty-four".