411668352 has 128 divisors (see below), whose sum is σ = 1268064000. Its totient is φ = 131231232.

The previous prime is 411668293. The next prime is 411668353. The reversal of 411668352 is 253866114.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411668353) 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 15 ways as a sum of consecutive naturals, for example, 76899 + ... + 82077.

It is an arithmetic number, because the mean of its divisors is an integer number (9906750).

Almost surely, 2^411668352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411668352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634032000).

411668352 is an abundant number, since it is smaller than the sum of its proper divisors (856395648).

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

411668352 is a wasteful number, since it uses less digits than its factorization.

411668352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5225 (or 5207 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 411668352 is about 20289.6119233464. The cubic root of 411668352 is about 743.9021723611.

The spelling of 411668352 in words is "four hundred eleven million, six hundred sixty-eight thousand, three hundred fifty-two".