441300960 has 240 divisors, whose sum is σ = 1649861136. Its totient is φ = 110702592.

The previous prime is 441300919. The next prime is 441300983. The reversal of 441300960 is 69003144.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 219319 + ... + 221321.

Almost surely, 2^441300960 is an apocalyptic number.

441300960 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 441300960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824930568).

441300960 is an abundant number, since it is smaller than the sum of its proper divisors (1208560176).

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

441300960 is a wasteful number, since it uses less digits than its factorization.

441300960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 441300960 is about 21007.1644921441. The cubic root of 441300960 is about 761.3393741071.

It can be divided in two parts, 441 and 300960, that added together give a square (301401 = 549²).

The spelling of 441300960 in words is "four hundred forty-one million, three hundred thousand, nine hundred sixty".