441766248 has 128 divisors (see below), whose sum is σ = 1383505920. Its totient is φ = 114197760.

The previous prime is 441766243. The next prime is 441766249. The reversal of 441766248 is 842667144.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (441766243) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 511465 + ... + 512327.

It is an arithmetic number, because the mean of its divisors is an integer number (10808640).

Almost surely, 2^441766248 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 441766248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691752960).

441766248 is an abundant number, since it is smaller than the sum of its proper divisors (941739672).

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

441766248 is a wasteful number, since it uses less digits than its factorization.

441766248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1163 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 441766248 is about 21018.2360820312. The cubic root of 441766248 is about 761.6068541874.

The spelling of 441766248 in words is "four hundred forty-one million, seven hundred sixty-six thousand, two hundred forty-eight".