411469344 has 288 divisors, whose sum is σ = 1402337664. Its totient is φ = 112803840.

The previous prime is 411469321. The next prime is 411469351. The reversal of 411469344 is 443964114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 411469299 and 411469308.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3994797 + ... + 3994899.

It is an arithmetic number, because the mean of its divisors is an integer number (4869228).

Almost surely, 2^411469344 is an apocalyptic number.

411469344 is a gapful number since it is divisible by the number (44) 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 411469344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701168832).

411469344 is an abundant number, since it is smaller than the sum of its proper divisors (990868320).

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

411469344 is a wasteful number, since it uses less digits than its factorization.

411469344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 229 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 411469344 is about 20284.7071460251. The cubic root of 411469344 is about 743.7822810742.

The spelling of 411469344 in words is "four hundred eleven million, four hundred sixty-nine thousand, three hundred forty-four".