1355307840 has 84 divisors (see below), whose sum is σ = 4661704164. Its totient is φ = 361414656.

The previous prime is 1355307827. The next prime is 1355307859. The reversal of 1355307840 is 487035531.

1355307840 is a `hidden beast` number, since 13 + 5 + 530 + 78 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 654541056 + 700766784 = 25584^2 + 26472^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1355307795 and 1355307804.

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 11 ways as a sum of consecutive naturals, for example, 232417 + ... + 238176.

Almost surely, 2^1355307840 is an apocalyptic number.

1355307840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1355307840 is an abundant number, since it is smaller than the sum of its proper divisors (3306396324).

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

1355307840 is a wasteful number, since it uses less digits than its factorization.

1355307840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470616 (or 470603 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1355307840 is about 36814.5058366943. The cubic root of 1355307840 is about 1106.6560183489.

The spelling of 1355307840 in words is "one billion, three hundred fifty-five million, three hundred seven thousand, eight hundred forty".