441402400 has 36 divisors (see below), whose sum is σ = 1077575562. Its totient is φ = 176560640.

The previous prime is 441402373. The next prime is 441402419. The reversal of 441402400 is 4204144.

It can be written as a sum of positive squares in 3 ways, for example, as 322417936 + 118984464 = 17956^2 + 10908^2 .

It is a super-3 number, since 3×441402400³ (a number of 27 digits) contains 333 as substring.

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 5 ways as a sum of consecutive naturals, for example, 275077 + ... + 276676.

Almost surely, 2^441402400 is an apocalyptic number.

441402400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441402400 is an abundant number, since it is smaller than the sum of its proper divisors (636173162).

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

441402400 is a wasteful number, since it uses less digits than its factorization.

441402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551773 (or 551760 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 441402400 is about 21009.5787677907. The cubic root of 441402400 is about 761.3977049337.

Adding to 441402400 its reverse (4204144), we get a palindrome (445606544).

The spelling of 441402400 in words is "four hundred forty-one million, four hundred two thousand, four hundred".