441056880 has 320 divisors, whose sum is σ = 1746316800. Its totient is φ = 101191680.

The previous prime is 441056873. The next prime is 441056881. The reversal of 441056880 is 88650144.

441056880 is a `hidden beast` number, since 4 + 4 + 10 + 568 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441056881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 450952 + ... + 451928.

It is an arithmetic number, because the mean of its divisors is an integer number (5457240).

Almost surely, 2^441056880 is an apocalyptic number.

441056880 is a gapful number since it is divisible by the number (40) 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 441056880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873158400).

441056880 is an abundant number, since it is smaller than the sum of its proper divisors (1305259920).

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

441056880 is a wasteful number, since it uses less digits than its factorization.

441056880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 441056880 is about 21001.3542420483. The cubic root of 441056880 is about 761.1989846664.

The spelling of 441056880 in words is "four hundred forty-one million, fifty-six thousand, eight hundred eighty".