411431440 has 120 divisors (see below), whose sum is σ = 1124660160. Its totient is φ = 139555584.

The previous prime is 411431407. The next prime is 411431441. The reversal of 411431440 is 44134114.

It is not an unprimeable number, because it can be changed into a prime (411431441) 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, 403251 + ... + 404269.

It is an arithmetic number, because the mean of its divisors is an integer number (9372168).

Almost surely, 2^411431440 is an apocalyptic number.

411431440 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 411431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562330080).

411431440 is an abundant number, since it is smaller than the sum of its proper divisors (713228720).

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

411431440 is a wasteful number, since it uses less digits than its factorization.

411431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 411431440 is about 20283.7728246005. The cubic root of 411431440 is about 743.7594416333.

Adding to 411431440 its reverse (44134114), we get a palindrome (455565554).

The spelling of 411431440 in words is "four hundred eleven million, four hundred thirty-one thousand, four hundred forty".