411813440 has 168 divisors, whose sum is σ = 1073289192. Its totient is φ = 150405120.

The previous prime is 411813439. The next prime is 411813443. The reversal of 411813440 is 44318114.

It can be written as a sum of positive squares in 12 ways, for example, as 73547776 + 338265664 = 8576^2 + 18392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411813443) 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 23 ways as a sum of consecutive naturals, for example, 5641244 + ... + 5641316.

Almost surely, 2^411813440 is an apocalyptic number.

411813440 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 411813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536644596).

411813440 is an abundant number, since it is smaller than the sum of its proper divisors (661475752).

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

411813440 is a wasteful number, since it uses less digits than its factorization.

411813440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 411813440 is about 20293.1870340762. The cubic root of 411813440 is about 743.9895554860.

The spelling of 411813440 in words is "four hundred eleven million, eight hundred thirteen thousand, four hundred forty".