411948576 has 144 divisors (see below), whose sum is σ = 1328221440. Its totient is φ = 120061440.

The previous prime is 411948571. The next prime is 411948611. The reversal of 411948576 is 675849114.

411948576 is a `hidden beast` number, since 411 + 94 + 85 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (411948571) 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, 68241 + ... + 74031.

It is an arithmetic number, because the mean of its divisors is an integer number (9223760).

Almost surely, 2^411948576 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 411948576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664110720).

411948576 is an abundant number, since it is smaller than the sum of its proper divisors (916272864).

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

411948576 is a wasteful number, since it uses less digits than its factorization.

411948576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5839 (or 5828 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 411948576 is about 20296.5163513348. The cubic root of 411948576 is about 744.0709262942.

It can be divided in two parts, 41194 and 8576, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 411948576 in words is "four hundred eleven million, nine hundred forty-eight thousand, five hundred seventy-six".