441315840 has 160 divisors (see below), whose sum is σ = 1612575360. Its totient is φ = 100859904.

The previous prime is 441315827. The next prime is 441315851. The reversal of 441315840 is 48513144.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 441315798 and 441315807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49656 + ... + 57864.

It is an arithmetic number, because the mean of its divisors is an integer number (10078596).

Almost surely, 2^441315840 is an apocalyptic number.

441315840 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 441315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806287680).

441315840 is an abundant number, since it is smaller than the sum of its proper divisors (1171259520).

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

441315840 is an equidigital number, since it uses as much as digits as its factorization.

441315840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8242 (or 8226 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 441315840 is about 21007.5186540438. The cubic root of 441315840 is about 761.3479310812.

Adding to 441315840 its reverse (48513144), we get a palindrome (489828984).

The spelling of 441315840 in words is "four hundred forty-one million, three hundred fifteen thousand, eight hundred forty".