441770112 has 192 divisors, whose sum is σ = 1507396800. Its totient is φ = 126157824.

The previous prime is 441770099. The next prime is 441770117. The reversal of 441770112 is 211077144.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (441770117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216714 + ... + 218742.

It is an arithmetic number, because the mean of its divisors is an integer number (7851025).

Almost surely, 2^441770112 is an apocalyptic number.

441770112 is a gapful number since it is divisible by the number (42) 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 441770112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753698400).

441770112 is an abundant number, since it is smaller than the sum of its proper divisors (1065626688).

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

441770112 is an equidigital number, since it uses as much as digits as its factorization.

441770112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 441770112 is about 21018.3280020082. The cubic root of 441770112 is about 761.6090746983.

It can be divided in two parts, 4417 and 70112, that added together give a square (74529 = 273²).

The spelling of 441770112 in words is "four hundred forty-one million, seven hundred seventy thousand, one hundred twelve".