441056448 has 168 divisors, whose sum is σ = 1508607600. Its totient is φ = 125991936.

The previous prime is 441056387. The next prime is 441056477. The reversal of 441056448 is 844650144.

It is a happy number.

441056448 is a `hidden beast` number, since 4 + 4 + 1 + 0 + 5 + 644 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

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, 82068 + ... + 87276.

Almost surely, 2^441056448 is an apocalyptic number.

441056448 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 441056448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754303800).

441056448 is an abundant number, since it is smaller than the sum of its proper divisors (1067551152).

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

441056448 is a wasteful number, since it uses less digits than its factorization.

441056448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5244 (or 5221 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 441056448 is about 21001.3439569948. The cubic root of 441056448 is about 761.1987361436.

The spelling of 441056448 in words is "four hundred forty-one million, fifty-six thousand, four hundred forty-eight".