1300400205 has 16 divisors (see below), whose sum is σ = 2240689920. Its totient is φ = 640196928.

The previous prime is 1300400201. The next prime is 1300400207. The reversal of 1300400205 is 5020040031.

It is not a de Polignac number, because 1300400205 - 2² = 1300400201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300400201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3334165 + ... + 3334554.

It is an arithmetic number, because the mean of its divisors is an integer number (140043120).

Almost surely, 2^1300400205 is an apocalyptic number.

1300400205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1300400205 is a deficient number, since it is larger than the sum of its proper divisors (940289715).

1300400205 is a wasteful number, since it uses less digits than its factorization.

1300400205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6668740.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 1300400205 is about 36061.0621723765. The cubic root of 1300400205 is about 1091.5048666702.

Adding to 1300400205 its reverse (5020040031), we get a palindrome (6320440236).

The spelling of 1300400205 in words is "one billion, three hundred million, four hundred thousand, two hundred five".