1300355040 has 48 divisors (see below), whose sum is σ = 4096119888. Its totient is φ = 346761216.

The previous prime is 1300354981. The next prime is 1300355083. The reversal of 1300355040 is 405530031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1300355040³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1300354998 and 1300355016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1354057 + ... + 1355016.

It is an arithmetic number, because the mean of its divisors is an integer number (85335831).

Almost surely, 2^1300355040 is an apocalyptic number.

1300355040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300355040 is an abundant number, since it is smaller than the sum of its proper divisors (2795764848).

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

1300355040 is a wasteful number, since it uses less digits than its factorization.

1300355040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709091 (or 2709083 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 1300355040 is about 36060.4359374648. The cubic root of 1300355040 is about 1091.4922299481.

Adding to 1300355040 its reverse (405530031), we get a palindrome (1705885071).

The spelling of 1300355040 in words is "one billion, three hundred million, three hundred fifty-five thousand, forty".