411313120 has 48 divisors (see below), whose sum is σ = 973531440. Its totient is φ = 164219904.

The previous prime is 411313109. The next prime is 411313157. The reversal of 411313120 is 21313114.

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 = 411313094 and 411313103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96964 + ... + 101116.

It is an arithmetic number, because the mean of its divisors is an integer number (20281905).

Almost surely, 2^411313120 is an apocalyptic number.

411313120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

411313120 is an abundant number, since it is smaller than the sum of its proper divisors (562218320).

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

411313120 is a wasteful number, since it uses less digits than its factorization.

411313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4787 (or 4779 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 411313120 is about 20280.8559977137. The cubic root of 411313120 is about 743.6881376883.

Adding to 411313120 its reverse (21313114), we get a palindrome (432626234).

The spelling of 411313120 in words is "four hundred eleven million, three hundred thirteen thousand, one hundred twenty".