441786072 has 256 divisors, whose sum is σ = 1467970560. Its totient is φ = 107495424.

The previous prime is 441786061. The next prime is 441786073. The reversal of 441786072 is 270687144.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 441786072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441786073) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2710263 + ... + 2710425.

It is an arithmetic number, because the mean of its divisors is an integer number (5734260).

Almost surely, 2^441786072 is an apocalyptic number.

441786072 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 441786072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733985280).

441786072 is an abundant number, since it is smaller than the sum of its proper divisors (1026184488).

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

441786072 is a wasteful number, since it uses less digits than its factorization.

441786072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 441786072 is about 21018.7076672187. The cubic root of 441786072 is about 761.6182462365.

The spelling of 441786072 in words is "four hundred forty-one million, seven hundred eighty-six thousand, seventy-two".