411456121 has 12 divisors (see below), whose sum is σ = 423797268. Its totient is φ = 399458304.

The previous prime is 411456079. The next prime is 411456127. The reversal of 411456121 is 121654114.

It can be written as a sum of positive squares in 2 ways, for example, as 213744400 + 197711721 = 14620^2 + 14061^2 .

It is not a de Polignac number, because 411456121 - 2⁹ = 411455609 is a prime.

It is a super-2 number, since 2×411456121² = 338592279016733282, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (411456127) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 356281 + ... + 357433.

It is an arithmetic number, because the mean of its divisors is an integer number (35316439).

Almost surely, 2^411456121 is an apocalyptic number.

It is an amenable number.

411456121 is a deficient number, since it is larger than the sum of its proper divisors (12341147).

411456121 is a wasteful number, since it uses less digits than its factorization.

411456121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1389 counting only the distinct ones).

The product of its digits is 960, while the sum is 25.

The square root of 411456121 is about 20284.3812082104. The cubic root of 411456121 is about 743.7743135803.

The spelling of 411456121 in words is "four hundred eleven million, four hundred fifty-six thousand, one hundred twenty-one".