441236448 has 144 divisors (see below), whose sum is σ = 1293875856. Its totient is φ = 142571520.

The previous prime is 441236431. The next prime is 441236539. The reversal of 441236448 is 844632144.

441236448 is a `hidden beast` number, since 4 + 4 + 1 + 2 + 3 + 644 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2091063 + ... + 2091273.

It is an arithmetic number, because the mean of its divisors is an integer number (8985249).

Almost surely, 2^441236448 is an apocalyptic number.

441236448 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 441236448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646937928).

441236448 is an abundant number, since it is smaller than the sum of its proper divisors (852639408).

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

441236448 is a wasteful number, since it uses less digits than its factorization.

441236448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 406 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 441236448 is about 21005.6289598764. The cubic root of 441236448 is about 761.3022732593.

The spelling of 441236448 in words is "four hundred forty-one million, two hundred thirty-six thousand, four hundred forty-eight".