411413120 has 32 divisors (see below), whose sum is σ = 983536020. Its totient is φ = 164564992.

The previous prime is 411413113. The next prime is 411413153. The reversal of 411413120 is 21314114.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 357361216 + 54051904 = 18904^2 + 7352^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 320777 + ... + 322056.

Almost surely, 2^411413120 is an apocalyptic number.

411413120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

411413120 is an abundant number, since it is smaller than the sum of its proper divisors (572122900).

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

411413120 is an equidigital number, since it uses as much as digits as its factorization.

411413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642852 (or 642840 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 411413120 is about 20283.3212270575. The cubic root of 411413120 is about 743.7484022280.

Adding to 411413120 its reverse (21314114), we get a palindrome (432727234).

The spelling of 411413120 in words is "four hundred eleven million, four hundred thirteen thousand, one hundred twenty".