1253930540 has 72 divisors (see below), whose sum is σ = 2845447920. Its totient is φ = 463940608.

The previous prime is 1253930519. The next prime is 1253930567. The reversal of 1253930540 is 450393521.

It is a junction number, because it is equal to n+sod(n) for n = 1253930497 and 1253930506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339182 + ... + 342858.

It is an arithmetic number, because the mean of its divisors is an integer number (39520110).

Almost surely, 2^1253930540 is an apocalyptic number.

1253930540 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 1253930540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422723960).

1253930540 is an abundant number, since it is smaller than the sum of its proper divisors (1591517380).

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

1253930540 is a wasteful number, since it uses less digits than its factorization.

1253930540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 1253930540 is about 35410.8816608680. The cubic root of 1253930540 is about 1078.3452425386.

The spelling of 1253930540 in words is "one billion, two hundred fifty-three million, nine hundred thirty thousand, five hundred forty".