411322120 has 64 divisors (see below), whose sum is σ = 1012046400. Its totient is φ = 149210880.

The previous prime is 411322097. The next prime is 411322151. The reversal of 411322120 is 21223114.

It is a junction number, because it is equal to n+sod(n) for n = 411322094 and 411322103.

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, 239826 + ... + 241534.

It is an arithmetic number, because the mean of its divisors is an integer number (15813225).

Almost surely, 2^411322120 is an apocalyptic number.

411322120 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 411322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506023200).

411322120 is an abundant number, since it is smaller than the sum of its proper divisors (600724280).

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

411322120 is a wasteful number, since it uses less digits than its factorization.

411322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 411322120 is about 20281.0778806256. The cubic root of 411322120 is about 743.6935618968.

Adding to 411322120 its reverse (21223114), we get a palindrome (432545234).

The spelling of 411322120 in words is "four hundred eleven million, three hundred twenty-two thousand, one hundred twenty".