1300000400 has 60 divisors (see below), whose sum is σ = 3230978100. Its totient is φ = 502064640.

The previous prime is 1300000399. The next prime is 1300000423. The reversal of 1300000400 is 40000031.

It can be written as a sum of positive squares in 6 ways, for example, as 33779344 + 1266221056 = 5812^2 + 35584^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 44435 + ... + 67634.

It is an arithmetic number, because the mean of its divisors is an integer number (53849635).

Almost surely, 2^1300000400 is an apocalyptic number.

1300000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300000400 is an abundant number, since it is smaller than the sum of its proper divisors (1930977700).

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

1300000400 is a wasteful number, since it uses less digits than its factorization.

1300000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112116 (or 112105 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 1300000400 is about 36055.5183016414. The cubic root of 1300000400 is about 1091.3929949988.

Adding to 1300000400 its reverse (40000031), we get a palindrome (1340000431).

The spelling of 1300000400 in words is "one billion, three hundred million, four hundred", and thus it is an aban number.