441405900 has 216 divisors, whose sum is σ = 1539318144. Its totient is φ = 105062400.

The previous prime is 441405863. The next prime is 441405953. The reversal of 441405900 is 9504144.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 362092 + ... + 363308.

Almost surely, 2^441405900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441405900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769659072).

441405900 is an abundant number, since it is smaller than the sum of its proper divisors (1097912244).

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

441405900 is a wasteful number, since it uses less digits than its factorization.

441405900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 441405900 is about 21009.6620629652. The cubic root of 441405900 is about 761.3997173718.

The spelling of 441405900 in words is "four hundred forty-one million, four hundred five thousand, nine hundred".