411969168 has 180 divisors, whose sum is σ = 1288576380. Its totient is φ = 122135040.

The previous prime is 411969167. The next prime is 411969251. The reversal of 411969168 is 861969114.

411969168 is a `hidden beast` number, since 411 + 96 + 91 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 232623504 + 179345664 = 15252^2 + 13392^2 .

It is a super-2 number, since 2×411969168² = 339437190765224448, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (411969161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1798878 + ... + 1799106.

Almost surely, 2^411969168 is an apocalyptic number.

411969168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411969168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644288190).

411969168 is an abundant number, since it is smaller than the sum of its proper divisors (876607212).

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

411969168 is a wasteful number, since it uses less digits than its factorization.

411969168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 278 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 411969168 is about 20297.0236241672. The cubic root of 411969168 is about 744.0833240011.

The spelling of 411969168 in words is "four hundred eleven million, nine hundred sixty-nine thousand, one hundred sixty-eight".