1316854400 has 96 divisors (see below), whose sum is σ = 3332716380. Its totient is φ = 513843200.

The previous prime is 1316854327. The next prime is 1316854411. The reversal of 1316854400 is 44586131.

It can be written as a sum of positive squares in 6 ways, for example, as 98565184 + 1218289216 = 9928^2 + 34904^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126182 + ... + 136218.

Almost surely, 2^1316854400 is an apocalyptic number.

1316854400 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 1316854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666358190).

1316854400 is an abundant number, since it is smaller than the sum of its proper divisors (2015861980).

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

1316854400 is a wasteful number, since it uses less digits than its factorization.

1316854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10102 (or 10085 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 1316854400 is about 36288.4885328667. The cubic root of 1316854400 is about 1096.0892533917.

The spelling of 1316854400 in words is "one billion, three hundred sixteen million, eight hundred fifty-four thousand, four hundred".