411664032 has 240 divisors, whose sum is σ = 1374579360. Its totient is φ = 119812608.

The previous prime is 411664031. The next prime is 411664073. The reversal of 411664032 is 230466114.

411664032 is a `hidden beast` number, since 4 + 1 + 16 + 640 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 411663987 and 411664005.

It is not an unprimeable number, because it can be changed into a prime (411664031) 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 39 ways as a sum of consecutive naturals, for example, 639903 + ... + 640545.

It is an arithmetic number, because the mean of its divisors is an integer number (5727414).

Almost surely, 2^411664032 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 411664032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687289680).

411664032 is an abundant number, since it is smaller than the sum of its proper divisors (962915328).

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

411664032 is a wasteful number, since it uses less digits than its factorization.

411664032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 411664032 is about 20289.5054646485. The cubic root of 411664032 is about 743.8995702109.

The spelling of 411664032 in words is "four hundred eleven million, six hundred sixty-four thousand, thirty-two".