1300400544 has 96 divisors (see below), whose sum is σ = 3465745920. Its totient is φ = 426892032.

The previous prime is 1300400531. The next prime is 1300400561. The reversal of 1300400544 is 4450040031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1300400544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3430947 + ... + 3431325.

It is an arithmetic number, because the mean of its divisors is an integer number (36101520).

Almost surely, 2^1300400544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300400544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732872960).

1300400544 is an abundant number, since it is smaller than the sum of its proper divisors (2165345376).

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

1300400544 is a wasteful number, since it uses less digits than its factorization.

1300400544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 1300400544 is about 36061.0668727369. The cubic root of 1300400544 is about 1091.5049615179.

Adding to 1300400544 its reverse (4450040031), we get a palindrome (5750440575).

The spelling of 1300400544 in words is "one billion, three hundred million, four hundred thousand, five hundred forty-four".