413344360 has 128 divisors (see below), whose sum is σ = 1103155200. Its totient is φ = 137410560.

The previous prime is 413344333. The next prime is 413344369. The reversal of 413344360 is 63443314.

It is not an unprimeable number, because it can be changed into a prime (413344369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 726156 + ... + 726724.

It is an arithmetic number, because the mean of its divisors is an integer number (8618400).

Almost surely, 2^413344360 is an apocalyptic number.

413344360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413344360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551577600).

413344360 is an abundant number, since it is smaller than the sum of its proper divisors (689810840).

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

413344360 is a wasteful number, since it uses less digits than its factorization.

413344360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 413344360 is about 20330.8720914770. The cubic root of 413344360 is about 744.9103446004.

Adding to 413344360 its reverse (63443314), we get a palindrome (476787674).

The spelling of 413344360 in words is "four hundred thirteen million, three hundred forty-four thousand, three hundred sixty".