1300006400 has 240 divisors, whose sum is σ = 4018671360. Its totient is φ = 404889600.

The previous prime is 1300006399. The next prime is 1300006457. The reversal of 1300006400 is 46000031.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 984941 + ... + 986259.

It is an arithmetic number, because the mean of its divisors is an integer number (16744464).

Almost surely, 2^1300006400 is an apocalyptic number.

1300006400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009335680).

1300006400 is an abundant number, since it is smaller than the sum of its proper divisors (2718664960).

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

1300006400 is a wasteful number, since it uses less digits than its factorization.

1300006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1300006400 is about 36055.6015065621. The cubic root of 1300006400 is about 1091.3946740619.

Adding to 1300006400 its reverse (46000031), we get a palindrome (1346006431).

The spelling of 1300006400 in words is "one billion, three hundred million, six thousand, four hundred".