441264960 has 336 divisors, whose sum is σ = 1612617552. Its totient is φ = 110592000.

The previous prime is 441264947. The next prime is 441264977. The reversal of 441264960 is 69462144.

441264960 is a `hidden beast` number, since 4 + 4 + 1 + 2 + 649 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12278016 + 428986944 = 3504^2 + 20712^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4368910 + ... + 4369010.

It is an arithmetic number, because the mean of its divisors is an integer number (4799457).

Almost surely, 2^441264960 is an apocalyptic number.

441264960 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 441264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806308776).

441264960 is an abundant number, since it is smaller than the sum of its proper divisors (1171352592).

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

441264960 is a wasteful number, since it uses less digits than its factorization.

441264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 441264960 is about 21006.3076241399. The cubic root of 441264960 is about 761.3186709549.

The spelling of 441264960 in words is "four hundred forty-one million, two hundred sixty-four thousand, nine hundred sixty".