411321420 has 144 divisors (see below), whose sum is σ = 1320725952. Its totient is φ = 103403520.

The previous prime is 411321401. The next prime is 411321439. The reversal of 411321420 is 24123114.

It is an interprime number because it is at equal distance from previous prime (411321401) and next prime (411321439).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 411321393 and 411321402.

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, 301540 + ... + 302900.

It is an arithmetic number, because the mean of its divisors is an integer number (9171708).

Almost surely, 2^411321420 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 411321420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660362976).

411321420 is an abundant number, since it is smaller than the sum of its proper divisors (909404532).

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

411321420 is a wasteful number, since it uses less digits than its factorization.

411321420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 411321420 is about 20281.0606231528. The cubic root of 411321420 is about 743.6931400168.

Adding to 411321420 its reverse (24123114), we get a palindrome (435444534).

The spelling of 411321420 in words is "four hundred eleven million, three hundred twenty-one thousand, four hundred twenty".