1316438200 has 192 divisors, whose sum is σ = 3871537920. Its totient is φ = 404352000.

The previous prime is 1316438191. The next prime is 1316438243. The reversal of 1316438200 is 28346131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1123615 + ... + 1124785.

It is an arithmetic number, because the mean of its divisors is an integer number (20164260).

Almost surely, 2^1316438200 is an apocalyptic number.

1316438200 is a gapful number since it is divisible by the number (10) 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 1316438200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935768960).

1316438200 is an abundant number, since it is smaller than the sum of its proper divisors (2555099720).

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

1316438200 is a wasteful number, since it uses less digits than its factorization.

1316438200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 1316438200 is about 36282.7534787535. The cubic root of 1316438200 is about 1095.9737659553.

The spelling of 1316438200 in words is "one billion, three hundred sixteen million, four hundred thirty-eight thousand, two hundred".