441480780 has 120 divisors (see below), whose sum is σ = 1491546672. Its totient is φ = 108667008.

The previous prime is 441480757. The next prime is 441480821. The reversal of 441480780 is 87084144.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10579 + ... + 31541.

Almost surely, 2^441480780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441480780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745773336).

441480780 is an abundant number, since it is smaller than the sum of its proper divisors (1050065892).

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

441480780 is a wasteful number, since it uses less digits than its factorization.

441480780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20997 (or 20986 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 441480780 is about 21011.4440246262. Note that the first 3 decimals coincide. The cubic root of 441480780 is about 761.4427694977.

The spelling of 441480780 in words is "four hundred forty-one million, four hundred eighty thousand, seven hundred eighty".