1306216400 has 30 divisors (see below), whose sum is σ = 3138185862. Its totient is φ = 522486400.

The previous prime is 1306216393. The next prime is 1306216409. The reversal of 1306216400 is 46126031.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 13957696 + 1292258704 = 3736^2 + 35948^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306216409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1632371 + ... + 1633170.

Almost surely, 2^1306216400 is an apocalyptic number.

1306216400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1306216400 is an abundant number, since it is smaller than the sum of its proper divisors (1831969462).

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

1306216400 is a wasteful number, since it uses less digits than its factorization.

1306216400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3265559 (or 3265548 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 1306216400 is about 36141.6159018935. The cubic root of 1306216400 is about 1093.1297418189.

The spelling of 1306216400 in words is "one billion, three hundred six million, two hundred sixteen thousand, four hundred".