1204441200 has 180 divisors, whose sum is σ = 4208342008. Its totient is φ = 318988800.

The previous prime is 1204441193. The next prime is 1204441201. The reversal of 1204441200 is 21444021.

1204441200 is a `hidden beast` number, since 1 + 20 + 4 + 441 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1204441201) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 564135 + ... + 566265.

Almost surely, 2^1204441200 is an apocalyptic number.

1204441200 is a gapful number since it is divisible by the number (10) 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 1204441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104171004).

1204441200 is an abundant number, since it is smaller than the sum of its proper divisors (3003900808).

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

1204441200 is a wasteful number, since it uses less digits than its factorization.

1204441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1204441200 is about 34705.0601497822. The cubic root of 1204441200 is about 1063.9679216590.

Adding to 1204441200 its reverse (21444021), we get a palindrome (1225885221).

The spelling of 1204441200 in words is "one billion, two hundred four million, four hundred forty-one thousand, two hundred".