411122320 has 80 divisors (see below), whose sum is σ = 1106357760. Its totient is φ = 139156992.

The previous prime is 411122311. The next prime is 411122329. The reversal of 411122320 is 23221114.

It is an interprime number because it is at equal distance from previous prime (411122311) and next prime (411122329).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 411122294 and 411122303.

It is not an unprimeable number, because it can be changed into a prime (411122329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39594 + ... + 48886.

It is an arithmetic number, because the mean of its divisors is an integer number (13829472).

Almost surely, 2^411122320 is an apocalyptic number.

411122320 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 411122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553178880).

411122320 is an abundant number, since it is smaller than the sum of its proper divisors (695235440).

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

411122320 is a wasteful number, since it uses less digits than its factorization.

411122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9392 (or 9386 counting only the distinct ones).

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

The square root of 411122320 is about 20276.1515086073. The cubic root of 411122320 is about 743.5731258426.

Adding to 411122320 its reverse (23221114), we get a palindrome (434343434).

The spelling of 411122320 in words is "four hundred eleven million, one hundred twenty-two thousand, three hundred twenty".