441002400 has 144 divisors (see below), whose sum is σ = 1462968864. Its totient is φ = 115348480.

The previous prime is 441002357. The next prime is 441002413. The reversal of 441002400 is 4200144.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 441002400.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 125467 + ... + 128933.

It is an arithmetic number, because the mean of its divisors is an integer number (10159506).

Almost surely, 2^441002400 is an apocalyptic number.

441002400 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 441002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731484432).

441002400 is an abundant number, since it is smaller than the sum of its proper divisors (1021966464).

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

441002400 is a wasteful number, since it uses less digits than its factorization.

441002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 441002400 is about 21000.0571427794. The cubic root of 441002400 is about 761.1676419000.

Adding to 441002400 its reverse (4200144), we get a palindrome (445202544).

The spelling of 441002400 in words is "four hundred forty-one million, two thousand, four hundred".