413034240 has 144 divisors (see below), whose sum is σ = 1364983200. Its totient is φ = 106315776.

The previous prime is 413034203. The next prime is 413034241. The reversal of 413034240 is 42430314.

413034240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413034241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109506 + ... + 113214.

It is an arithmetic number, because the mean of its divisors is an integer number (9479050).

Almost surely, 2^413034240 is an apocalyptic number.

413034240 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 413034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682491600).

413034240 is an abundant number, since it is smaller than the sum of its proper divisors (951948960).

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

413034240 is a wasteful number, since it uses less digits than its factorization.

413034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3762 (or 3748 counting only the distinct ones).

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

The square root of 413034240 is about 20323.2438355692. The cubic root of 413034240 is about 744.7240032862.

Adding to 413034240 its reverse (42430314), we get a palindrome (455464554).

The spelling of 413034240 in words is "four hundred thirteen million, thirty-four thousand, two hundred forty".