441201600 has 336 divisors, whose sum is σ = 1839366400. Its totient is φ = 100776960.

The previous prime is 441201599. The next prime is 441201611. The reversal of 441201600 is 6102144.

441201600 is a `hidden beast` number, since 4 + 41 + 20 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

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, 301671 + ... + 303129.

Almost surely, 2^441201600 is an apocalyptic number.

441201600 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 441201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919683200).

441201600 is an abundant number, since it is smaller than the sum of its proper divisors (1398164800).

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

441201600 is a wasteful number, since it uses less digits than its factorization.

441201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 441201600 is about 21004.7994515539. The cubic root of 441201600 is about 761.2822306721.

Adding to 441201600 its reverse (6102144), we get a palindrome (447303744).

The spelling of 441201600 in words is "four hundred forty-one million, two hundred one thousand, six hundred".