1200838288 has 60 divisors (see below), whose sum is σ = 2544885108. Its totient is φ = 548620800.

The previous prime is 1200838283. The next prime is 1200838321. The reversal of 1200838288 is 8828380021.

It can be written as a sum of positive squares in 6 ways, for example, as 13897984 + 1186940304 = 3728^2 + 34452^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1200838288.

It is not an unprimeable number, because it can be changed into a prime (1200838283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270906 + ... + 275302.

Almost surely, 2^1200838288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200838288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272442554).

1200838288 is an abundant number, since it is smaller than the sum of its proper divisors (1344046820).

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

1200838288 is a wasteful number, since it uses less digits than its factorization.

1200838288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4532 (or 4513 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 1200838288 is about 34653.1136840544. The cubic root of 1200838288 is about 1062.9059598977.

The spelling of 1200838288 in words is "one billion, two hundred million, eight hundred thirty-eight thousand, two hundred eighty-eight".