1338692250 has 192 divisors, whose sum is σ = 3948048000. Its totient is φ = 301190400.

The previous prime is 1338692231. The next prime is 1338692261. The reversal of 1338692250 is 522968331.

It is a junction number, because it is equal to n+sod(n) for n = 1338692199 and 1338692208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2682501 + ... + 2682999.

It is an arithmetic number, because the mean of its divisors is an integer number (20562750).

Almost surely, 2^1338692250 is an apocalyptic number.

1338692250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1338692250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974024000).

1338692250 is an abundant number, since it is smaller than the sum of its proper divisors (2609355750).

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

1338692250 is a wasteful number, since it uses less digits than its factorization.

1338692250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 1338692250 is about 36588.1435713812. The cubic root of 1338692250 is about 1102.1150079300.

The spelling of 1338692250 in words is "one billion, three hundred thirty-eight million, six hundred ninety-two thousand, two hundred fifty".