411472512 has 192 divisors, whose sum is σ = 1360476000. Its totient is φ = 118056960.

The previous prime is 411472489. The next prime is 411472519. The reversal of 411472512 is 215274114.

411472512 is a `hidden beast` number, since 4 + 1 + 147 + 2 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (411472519) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239914 + ... + 241622.

Almost surely, 2^411472512 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 411472512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680238000).

411472512 is an abundant number, since it is smaller than the sum of its proper divisors (949003488).

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

411472512 is a wasteful number, since it uses less digits than its factorization.

411472512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1744 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 411472512 is about 20284.7852342587. The cubic root of 411472512 is about 743.7841899213.

The spelling of 411472512 in words is "four hundred eleven million, four hundred seventy-two thousand, five hundred twelve".