1200057408 has 168 divisors, whose sum is σ = 3854622720. Its totient is φ = 353756160.

The previous prime is 1200057403. The next prime is 1200057431. The reversal of 1200057408 is 8047500021.

1200057408 is a `hidden beast` number, since 1 + 200 + 0 + 57 + 408 = 666.

It is not an unprimeable number, because it can be changed into a prime (1200057403) 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 23 ways as a sum of consecutive naturals, for example, 231873 + ... + 236991.

Almost surely, 2^1200057408 is an apocalyptic number.

1200057408 is a gapful number since it is divisible by the number (18) 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 1200057408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927311360).

1200057408 is an abundant number, since it is smaller than the sum of its proper divisors (2654565312).

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

1200057408 is a wasteful number, since it uses less digits than its factorization.

1200057408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5185 (or 5172 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1200057408 is about 34641.8447545739. The cubic root of 1200057408 is about 1062.6755147744.

Adding to 1200057408 its reverse (8047500021), we get a palindrome (9247557429).

The spelling of 1200057408 in words is "one billion, two hundred million, fifty-seven thousand, four hundred eight".