441618520 has 192 divisors, whose sum is σ = 1273942080. Its totient is φ = 134479872.

The previous prime is 441618517. The next prime is 441618521. The reversal of 441618520 is 25816144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441618521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1718232 + ... + 1718488.

It is an arithmetic number, because the mean of its divisors is an integer number (6635115).

Almost surely, 2^441618520 is an apocalyptic number.

441618520 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 441618520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636971040).

441618520 is an abundant number, since it is smaller than the sum of its proper divisors (832323560).

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

441618520 is a wasteful number, since it uses less digits than its factorization.

441618520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 441618520 is about 21014.7215066010. The cubic root of 441618520 is about 761.5219501599.

The spelling of 441618520 in words is "four hundred forty-one million, six hundred eighteen thousand, five hundred twenty".