1301385600 has 288 divisors, whose sum is σ = 4714858200. Its totient is φ = 341729280.

The previous prime is 1301385593. The next prime is 1301385653. The reversal of 1301385600 is 65831031.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2102091 + ... + 2102709.

Almost surely, 2^1301385600 is an apocalyptic number.

1301385600 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 1301385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357429100).

1301385600 is an abundant number, since it is smaller than the sum of its proper divisors (3413472600).

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

1301385600 is a wasteful number, since it uses less digits than its factorization.

1301385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1301385600 is about 36074.7224521548. The cubic root of 1301385600 is about 1091.7804976834.

The spelling of 1301385600 in words is "one billion, three hundred one million, three hundred eighty-five thousand, six hundred".