441050400 has 288 divisors, whose sum is σ = 1823633280. Its totient is φ = 100776960.

The previous prime is 441050399. The next prime is 441050411. The reversal of 441050400 is 4050144.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149742 + ... + 152658.

It is an arithmetic number, because the mean of its divisors is an integer number (6332060).

Almost surely, 2^441050400 is an apocalyptic number.

441050400 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 441050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911816640).

441050400 is an abundant number, since it is smaller than the sum of its proper divisors (1382582880).

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

441050400 is a wasteful number, since it uses less digits than its factorization.

441050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 441050400 is about 21001.1999657162. The cubic root of 441050400 is about 761.1952568074.

The spelling of 441050400 in words is "four hundred forty-one million, fifty thousand, four hundred".