441483408 has 240 divisors, whose sum is σ = 1358413056. Its totient is φ = 133539840.

The previous prime is 441483407. The next prime is 441483409. The reversal of 441483408 is 804384144.

It is an interprime number because it is at equal distance from previous prime (441483407) and next prime (441483409).

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

It is not an unprimeable number, because it can be changed into a prime (441483407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9393241 + ... + 9393287.

Almost surely, 2^441483408 is an apocalyptic number.

441483408 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 441483408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679206528).

441483408 is an abundant number, since it is smaller than the sum of its proper divisors (916929648).

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

441483408 is a wasteful number, since it uses less digits than its factorization.

441483408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 173 counting only the distinct ones).

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

The square root of 441483408 is about 21011.5065618818. The cubic root of 441483408 is about 761.4442803733. Note that the first 3 decimals are identical.

The spelling of 441483408 in words is "four hundred forty-one million, four hundred eighty-three thousand, four hundred eight".