413304240 has 80 divisors (see below), whose sum is σ = 1300416768. Its totient is φ = 108565248.

The previous prime is 413304239. The next prime is 413304251. The reversal of 413304240 is 42403314.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3229 + ... + 28931.

Almost surely, 2^413304240 is an apocalyptic number.

413304240 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 413304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650208384).

413304240 is an abundant number, since it is smaller than the sum of its proper divisors (887112528).

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

413304240 is a wasteful number, since it uses less digits than its factorization.

413304240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25786 (or 25780 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 413304240 is about 20329.8853907247. The cubic root of 413304240 is about 744.8862430095.

Adding to 413304240 its reverse (42403314), we get a palindrome (455707554).

The spelling of 413304240 in words is "four hundred thirteen million, three hundred four thousand, two hundred forty".