1300748400 has 360 divisors, whose sum is σ = 5238664704. Its totient is φ = 292723200.

The previous prime is 1300748381. The next prime is 1300748401. The reversal of 1300748400 is 48470031.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300748401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1788837 + ... + 1789563.

Almost surely, 2^1300748400 is an apocalyptic number.

1300748400 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 1300748400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619332352).

1300748400 is an abundant number, since it is smaller than the sum of its proper divisors (3937916304).

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

1300748400 is a wasteful number, since it uses less digits than its factorization.

1300748400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1300748400 is about 36065.8897020440. The cubic root of 1300748400 is about 1091.6022783796.

It can be divided in two parts, 1300 and 748400, that added together give a triangular number (749700 = T₁₂₂₄).

The spelling of 1300748400 in words is "one billion, three hundred million, seven hundred forty-eight thousand, four hundred".