1300348800 has 288 divisors, whose sum is σ = 4685261880. Its totient is φ = 343388160.

The previous prime is 1300348759. The next prime is 1300348813. The reversal of 1300348800 is 88430031.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1300348800² = 3381814003322880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4694262 + ... + 4694538.

Almost surely, 2^1300348800 is an apocalyptic number.

1300348800 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 1300348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342630940).

1300348800 is an abundant number, since it is smaller than the sum of its proper divisors (3384913080).

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

1300348800 is a wasteful number, since it uses less digits than its factorization.

1300348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1300348800 is about 36060.3494159444. The cubic root of 1300348800 is about 1091.4904840345.

Adding to 1300348800 its reverse (88430031), we get a palindrome (1388778831).

The spelling of 1300348800 in words is "one billion, three hundred million, three hundred forty-eight thousand, eight hundred".