441210420 has 144 divisors (see below), whose sum is σ = 1545118848. Its totient is φ = 99820800.

The previous prime is 441210397. The next prime is 441210443. The reversal of 441210420 is 24012144.

It is an interprime number because it is at equal distance from previous prime (441210397) and next prime (441210443).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 441210393 and 441210402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125527 + ... + 128993.

It is an arithmetic number, because the mean of its divisors is an integer number (10729992).

Almost surely, 2^441210420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441210420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772559424).

441210420 is an abundant number, since it is smaller than the sum of its proper divisors (1103908428).

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

441210420 is a wasteful number, since it uses less digits than its factorization.

441210420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 441210420 is about 21005.0094025211. The cubic root of 441210420 is about 761.2873035341.

Adding to 441210420 its reverse (24012144), we get a palindrome (465222564).

The spelling of 441210420 in words is "four hundred forty-one million, two hundred ten thousand, four hundred twenty".