411121620 has 288 divisors, whose sum is σ = 1616858880. Its totient is φ = 82114560.

The previous prime is 411121561. The next prime is 411121631. The reversal of 411121620 is 26121114.

411121620 = 358² + 359² + ... + 1085².

411121620 is a `hidden beast` number, since 41 + 1 + 1 + 2 + 1 + 620 = 666.

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 = 411121593 and 411121602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 310560 + ... + 311880.

Almost surely, 2^411121620 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 411121620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808429440).

411121620 is an abundant number, since it is smaller than the sum of its proper divisors (1205737260).

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

411121620 is a wasteful number, since it uses less digits than its factorization.

411121620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 411121620 is about 20276.1342469416. The cubic root of 411121620 is about 743.5727038259.

Adding to 411121620 its reverse (26121114), we get a palindrome (437242734).

The spelling of 411121620 in words is "four hundred eleven million, one hundred twenty-one thousand, six hundred twenty".