441429648 has 160 divisors (see below), whose sum is σ = 1302773760. Its totient is φ = 127572480.

The previous prime is 441429629. The next prime is 441429661. The reversal of 441429648 is 846924144.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1944511 + ... + 1944737.

It is an arithmetic number, because the mean of its divisors is an integer number (8142336).

Almost surely, 2^441429648 is an apocalyptic number.

441429648 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 441429648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651386880).

441429648 is an abundant number, since it is smaller than the sum of its proper divisors (861344112).

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

441429648 is a wasteful number, since it uses less digits than its factorization.

441429648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 399 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 441429648 is about 21010.2272239022. The cubic root of 441429648 is about 761.4133717703.

The spelling of 441429648 in words is "four hundred forty-one million, four hundred twenty-nine thousand, six hundred forty-eight".