441430400 has 48 divisors (see below), whose sum is σ = 1090478940. Its totient is φ = 176570880.

The previous prime is 441430399. The next prime is 441430427. The reversal of 441430400 is 4034144.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 5 ways as a sum of consecutive naturals, for example, 65774 + ... + 72173.

Almost surely, 2^441430400 is an apocalyptic number.

441430400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441430400 is an abundant number, since it is smaller than the sum of its proper divisors (649048540).

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

441430400 is a wasteful number, since it uses less digits than its factorization.

441430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137971 (or 137954 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 441430400 is about 21010.2451199409. The cubic root of 441430400 is about 761.4138041401.

Adding to 441430400 its reverse (4034144), we get a palindrome (445464544).

The spelling of 441430400 in words is "four hundred forty-one million, four hundred thirty thousand, four hundred".