411846444 has 60 divisors (see below), whose sum is σ = 1079003464. Its totient is φ = 136982016.

The previous prime is 411846443. The next prime is 411846481. The reversal of 411846444 is 444648114.

411846444 is a `hidden beast` number, since 4 + 1 + 1 + 8 + 4 + 644 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 411846399 and 411846408.

It is not an unprimeable number, because it can be changed into a prime (411846443) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 185847 + ... + 188049.

Almost surely, 2^411846444 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 411846444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539501732).

411846444 is an abundant number, since it is smaller than the sum of its proper divisors (667157020).

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

411846444 is a wasteful number, since it uses less digits than its factorization.

411846444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796 (or 2785 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 411846444 is about 20294.0001971026. Note that the first 3 decimals coincide. The cubic root of 411846444 is about 744.0094301614.

The spelling of 411846444 in words is "four hundred eleven million, eight hundred forty-six thousand, four hundred forty-four".