1300144400 has 60 divisors (see below), whose sum is σ = 3127143972. Its totient is φ = 519467520.

The previous prime is 1300144397. The next prime is 1300144421. The reversal of 1300144400 is 44410031.

It can be written as a sum of positive squares in 6 ways, for example, as 136515856 + 1163628544 = 11684^2 + 34112^2 .

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, 580082 + ... + 582318.

Almost surely, 2^1300144400 is an apocalyptic number.

1300144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300144400 is an abundant number, since it is smaller than the sum of its proper divisors (1826999572).

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

1300144400 is a wasteful number, since it uses less digits than its factorization.

1300144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3708 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1300144400 is about 36057.5151667444. The cubic root of 1300144400 is about 1091.4332910861.

Adding to 1300144400 its reverse (44410031), we get a palindrome (1344554431).

The spelling of 1300144400 in words is "one billion, three hundred million, one hundred forty-four thousand, four hundred".