1305318240 has 504 divisors, whose sum is σ = 5037173568. Its totient is φ = 319127040.

The previous prime is 1305318211. The next prime is 1305318247. The reversal of 1305318240 is 428135031.

It is a happy number.

1305318240 is a `hidden beast` number, since 1 + 305 + 318 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305318247) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 42107025 + ... + 42107055.

It is an arithmetic number, because the mean of its divisors is an integer number (9994392).

Almost surely, 2^1305318240 is an apocalyptic number.

1305318240 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 1305318240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518586784).

1305318240 is an abundant number, since it is smaller than the sum of its proper divisors (3731855328).

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

1305318240 is an equidigital number, since it uses as much as digits as its factorization.

1305318240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1305318240 is about 36129.1882001243. The cubic root of 1305318240 is about 1092.8791374713.

The spelling of 1305318240 in words is "one billion, three hundred five million, three hundred eighteen thousand, two hundred forty".