441642240 has 288 divisors, whose sum is σ = 1689488640. Its totient is φ = 108601344.

The previous prime is 441642211. The next prime is 441642241. The reversal of 441642240 is 42246144.

It is a happy number.

441642240 is a `hidden beast` number, since 4 + 416 + 4 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441642241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448789 + ... + 449771.

It is an arithmetic number, because the mean of its divisors is an integer number (5866280).

Almost surely, 2^441642240 is an apocalyptic number.

441642240 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 441642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844744320).

441642240 is an abundant number, since it is smaller than the sum of its proper divisors (1247846400).

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

441642240 is a wasteful number, since it uses less digits than its factorization.

441642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 441642240 is about 21015.2858652934. The cubic root of 441642240 is about 761.5355840818.

Adding to 441642240 its reverse (42246144), we get a palindrome (483888384).

It can be divided in two parts, 4416 and 42240, that added together give a 6-th power (46656 = 6⁶).

The spelling of 441642240 in words is "four hundred forty-one million, six hundred forty-two thousand, two hundred forty".