441021252 has 96 divisors (see below), whose sum is σ = 1220567040. Its totient is φ = 121282560.

The previous prime is 441021233. The next prime is 441021263. The reversal of 441021252 is 252120144.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 668899 + ... + 669557.

It is an arithmetic number, because the mean of its divisors is an integer number (12714240).

Almost surely, 2^441021252 is an apocalyptic number.

441021252 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 441021252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610283520).

441021252 is an abundant number, since it is smaller than the sum of its proper divisors (779545788).

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

441021252 is a wasteful number, since it uses less digits than its factorization.

441021252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 441021252 is about 21000.5059939041. The cubic root of 441021252 is about 761.1784878938.

Adding to 441021252 its reverse (252120144), we get a palindrome (693141396).

It can be divided in two parts, 44102 and 1252, that added together give a palindrome (45354).

The spelling of 441021252 in words is "four hundred forty-one million, twenty-one thousand, two hundred fifty-two".