441540400 has 120 divisors (see below), whose sum is σ = 1224913664. Its totient is φ = 149817600.

The previous prime is 441540397. The next prime is 441540467. The reversal of 441540400 is 4045144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287635 + ... + 289165.

Almost surely, 2^441540400 is an apocalyptic number.

441540400 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 441540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612456832).

441540400 is an abundant number, since it is smaller than the sum of its proper divisors (783373264).

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

441540400 is a wasteful number, since it uses less digits than its factorization.

441540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 441540400 is about 21012.8627273868. The cubic root of 441540400 is about 761.4770444323.

Adding to 441540400 its reverse (4045144), we get a palindrome (445585544).

The spelling of 441540400 in words is "four hundred forty-one million, five hundred forty thousand, four hundred".