441413280 has 384 divisors, whose sum is σ = 1927618560. Its totient is φ = 91653120.

The previous prime is 441413249. The next prime is 441413303. The reversal of 441413280 is 82314144.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 331977 + ... + 333303.

It is an arithmetic number, because the mean of its divisors is an integer number (5019840).

Almost surely, 2^441413280 is an apocalyptic number.

441413280 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 441413280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963809280).

441413280 is an abundant number, since it is smaller than the sum of its proper divisors (1486205280).

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

441413280 is a wasteful number, since it uses less digits than its factorization.

441413280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 441413280 is about 21009.8376957082. The cubic root of 441413280 is about 761.4039607062.

The spelling of 441413280 in words is "four hundred forty-one million, four hundred thirteen thousand, two hundred eighty".