441621408 has 72 divisors (see below), whose sum is σ = 1223576928. Its totient is φ = 139448448.

The previous prime is 441621361. The next prime is 441621451. The reversal of 441621408 is 804126144.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 28285 + ... + 41027.

It is an arithmetic number, because the mean of its divisors is an integer number (16994124).

Almost surely, 2^441621408 is an apocalyptic number.

441621408 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 441621408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611788464).

441621408 is an abundant number, since it is smaller than the sum of its proper divisors (781955520).

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

441621408 is a wasteful number, since it uses less digits than its factorization.

441621408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12794 (or 12767 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 441621408 is about 21014.7902202235. The cubic root of 441621408 is about 761.5236101677.

The spelling of 441621408 in words is "four hundred forty-one million, six hundred twenty-one thousand, four hundred eight".