411728160 has 96 divisors (see below), whose sum is σ = 1299836160. Its totient is φ = 109549568.

The previous prime is 411728123. The next prime is 411728179. The reversal of 411728160 is 61827114.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 344524 + ... + 345716.

It is an arithmetic number, because the mean of its divisors is an integer number (13539960).

Almost surely, 2^411728160 is an apocalyptic number.

411728160 is a gapful number since it is divisible by the number (40) 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 411728160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649918080).

411728160 is an abundant number, since it is smaller than the sum of its proper divisors (888108000).

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

411728160 is a wasteful number, since it uses less digits than its factorization.

411728160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 411728160 is about 20291.0857274814. The cubic root of 411728160 is about 743.9381958141.

The spelling of 411728160 in words is "four hundred eleven million, seven hundred twenty-eight thousand, one hundred sixty".