1200409056 has 648 divisors, whose sum is σ = 4718717640. Its totient is φ = 287400960.

The previous prime is 1200409039. The next prime is 1200409073. The reversal of 1200409056 is 6509040021.

1200409056 is a `hidden beast` number, since 1 + 200 + 409 + 0 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (1200409039) and next prime (1200409073).

It is a super-2 number, since 2×1200409056² = 2881963803453622272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 32443470 + ... + 32443506.

Almost surely, 2^1200409056 is an apocalyptic number.

1200409056 is a gapful number since it is divisible by the number (16) 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 1200409056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359358820).

1200409056 is an abundant number, since it is smaller than the sum of its proper divisors (3518308584).

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

1200409056 is a wasteful number, since it uses less digits than its factorization.

1200409056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1200409056 is about 34646.9198630989. The cubic root of 1200409056 is about 1062.7793018162.

Adding to 1200409056 its reverse (6509040021), we get a palindrome (7709449077).

The spelling of 1200409056 in words is "one billion, two hundred million, four hundred nine thousand, fifty-six".