1316238400 has 63 divisors (see below), whose sum is σ = 3242343909. Its totient is φ = 525914880.

The previous prime is 1316238367. The next prime is 1316238437. The reversal of 1316238400 is 48326131.

The square root of 1316238400 is 36280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 473845824 + 842392576 = 21768^2 + 29024^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1450747 + ... + 1451653.

Almost surely, 2^1316238400 is an apocalyptic number.

1316238400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1316238400 is the 36280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1316238400

1316238400 is an abundant number, since it is smaller than the sum of its proper divisors (1926105509).

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

1316238400 is an frugal number, since it uses more digits than its factorization.

1316238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 914 counting only the distinct ones).

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

The cubic root of 1316238400 is about 1095.9183166787.

The spelling of 1316238400 in words is "one billion, three hundred sixteen million, two hundred thirty-eight thousand, four hundred".