1200442320 has 480 divisors, whose sum is σ = 5125386240. Its totient is φ = 244546560.

The previous prime is 1200442277. The next prime is 1200442333. The reversal of 1200442320 is 232440021.

1200442320 is a `hidden beast` number, since 1 + 200 + 442 + 3 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1200442293 and 1200442302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3270777 + ... + 3271143.

It is an arithmetic number, because the mean of its divisors is an integer number (10677888).

Almost surely, 2^1200442320 is an apocalyptic number.

1200442320 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 1200442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562693120).

1200442320 is an abundant number, since it is smaller than the sum of its proper divisors (3924943920).

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

1200442320 is a wasteful number, since it uses less digits than its factorization.

1200442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1200442320 is about 34647.3999024458. The cubic root of 1200442320 is about 1062.7891184600.

Adding to 1200442320 its reverse (232440021), we get a palindrome (1432882341).

The spelling of 1200442320 in words is "one billion, two hundred million, four hundred forty-two thousand, three hundred twenty".