1200485664 has 384 divisors, whose sum is σ = 4361011200. Its totient is φ = 313528320.

The previous prime is 1200485647. The next prime is 1200485707. The reversal of 1200485664 is 4665840021.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3562104 + ... + 3562440.

It is an arithmetic number, because the mean of its divisors is an integer number (11356800).

Almost surely, 2^1200485664 is an apocalyptic number.

1200485664 is a gapful number since it is divisible by the number (14) 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 1200485664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180505600).

1200485664 is an abundant number, since it is smaller than the sum of its proper divisors (3160525536).

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

1200485664 is a wasteful number, since it uses less digits than its factorization.

1200485664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1200485664 is about 34648.0253982821. The cubic root of 1200485664 is about 1062.8019095721.

The spelling of 1200485664 in words is "one billion, two hundred million, four hundred eighty-five thousand, six hundred sixty-four".