1300414000 has 80 divisors (see below), whose sum is σ = 3164484960. Its totient is φ = 516844800.

The previous prime is 1300413973. The next prime is 1300414021. The reversal of 1300414000 is 4140031.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324006 + ... + 327994.

It is an arithmetic number, because the mean of its divisors is an integer number (39556062).

Almost surely, 2^1300414000 is an apocalyptic number.

1300414000 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 1300414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582242480).

1300414000 is an abundant number, since it is smaller than the sum of its proper divisors (1864070960).

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

1300414000 is a wasteful number, since it uses less digits than its factorization.

1300414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4175 (or 4159 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1300414000 is about 36061.2534446600. The cubic root of 1300414000 is about 1091.5087263170.

Adding to 1300414000 its reverse (4140031), we get a palindrome (1304554031).

The spelling of 1300414000 in words is "one billion, three hundred million, four hundred fourteen thousand".