413034440 has 128 divisors (see below), whose sum is σ = 1151055360. Its totient is φ = 129890304.

The previous prime is 413034409. The next prime is 413034473. The reversal of 413034440 is 44430314.

It is a super-2 number, since 2×413034440² = 341194897252227200, which contains 22 as substring.

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, 847877 + ... + 848363.

It is an arithmetic number, because the mean of its divisors is an integer number (8992620).

Almost surely, 2^413034440 is an apocalyptic number.

413034440 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 413034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575527680).

413034440 is an abundant number, since it is smaller than the sum of its proper divisors (738020920).

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

413034440 is a wasteful number, since it uses less digits than its factorization.

413034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 413034440 is about 20323.2487560429. The cubic root of 413034440 is about 744.7241234899.

Adding to 413034440 its reverse (44430314), we get a palindrome (457464754).

The spelling of 413034440 in words is "four hundred thirteen million, thirty-four thousand, four hundred forty".