441216080 has 40 divisors (see below), whose sum is σ = 1027092744. Its totient is φ = 176268800.

The previous prime is 441216059. The next prime is 441216091. The reversal of 441216080 is 80612144.

441216080 = T₄₅₉ + T₄₆₀ + ... + T₁₃₉₉.

It can be written as a sum of positive squares in 4 ways, for example, as 54228496 + 386987584 = 7364^2 + 19672^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72350 + ... + 78210.

Almost surely, 2^441216080 is an apocalyptic number.

441216080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441216080 is an abundant number, since it is smaller than the sum of its proper divisors (585876664).

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

441216080 is a wasteful number, since it uses less digits than its factorization.

441216080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6815 (or 6809 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 441216080 is about 21005.1441318549. The cubic root of 441216080 is about 761.2905588725.

The spelling of 441216080 in words is "four hundred forty-one million, two hundred sixteen thousand, eighty".