413005440 has 128 divisors (see below), whose sum is σ = 1323241920. Its totient is φ = 109568000.

The previous prime is 413005421. The next prime is 413005459. The reversal of 413005440 is 44500314.

It is an interprime number because it is at equal distance from previous prime (413005421) and next prime (413005459).

It is a tau number, because it is divible by the number of its divisors (128).

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, 481492 + ... + 482348.

Almost surely, 2^413005440 is an apocalyptic number.

413005440 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 413005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661620960).

413005440 is an abundant number, since it is smaller than the sum of its proper divisors (910236480).

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

413005440 is a wasteful number, since it uses less digits than its factorization.

413005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 413005440 is about 20322.5352749110. The cubic root of 413005440 is about 744.7066935430.

Adding to 413005440 its reverse (44500314), we get a palindrome (457505754).

The spelling of 413005440 in words is "four hundred thirteen million, five thousand, four hundred forty".