441305956 has 144 divisors (see below), whose sum is σ = 1032471552. Its totient is φ = 163296000.

The previous prime is 441305927. The next prime is 441305959. The reversal of 441305956 is 659503144.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (441305959) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2922481 + ... + 2922631.

Almost surely, 2^441305956 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 441305956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516235776).

441305956 is an abundant number, since it is smaller than the sum of its proper divisors (591165596).

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

441305956 is a wasteful number, since it uses less digits than its factorization.

441305956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 441305956 is about 21007.2834036198. The cubic root of 441305956 is about 761.3422471556.

It can be divided in two parts, 44130 and 5956, that added together give a triangular number (50086 = T₃₁₆).

The spelling of 441305956 in words is "four hundred forty-one million, three hundred five thousand, nine hundred fifty-six".