441681408 has 120 divisors (see below), whose sum is σ = 1456932048. Its totient is φ = 126185472.

The previous prime is 441681389. The next prime is 441681413. The reversal of 441681408 is 804186144.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25410 + ... + 39102.

Almost surely, 2^441681408 is an apocalyptic number.

441681408 is a gapful number since it is divisible by the number (48) 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 441681408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728466024).

441681408 is an abundant number, since it is smaller than the sum of its proper divisors (1015250640).

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

441681408 is a wasteful number, since it uses less digits than its factorization.

441681408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13724 (or 13705 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 441681408 is about 21016.2177377377. The cubic root of 441681408 is about 761.5580962280.

The spelling of 441681408 in words is "four hundred forty-one million, six hundred eighty-one thousand, four hundred eight".