1300938240 has 240 divisors, whose sum is σ = 4839346512. Its totient is φ = 297271296.

The previous prime is 1300938229. The next prime is 1300938251. The reversal of 1300938240 is 428390031.

It is an interprime number because it is at equal distance from previous prime (1300938229) and next prime (1300938251).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1300938198 and 1300938207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374592 + ... + 378048.

Almost surely, 2^1300938240 is an apocalyptic number.

1300938240 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 1300938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419673256).

1300938240 is an abundant number, since it is smaller than the sum of its proper divisors (3538408272).

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

1300938240 is an equidigital number, since it uses as much as digits as its factorization.

1300938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1300938240 is about 36068.5214556960. The cubic root of 1300938240 is about 1091.6553810642.

The spelling of 1300938240 in words is "one billion, three hundred million, nine hundred thirty-eight thousand, two hundred forty".