1257795048 has 96 divisors (see below), whose sum is σ = 3422583360. Its totient is φ = 384890880.

The previous prime is 1257794971. The next prime is 1257795053. The reversal of 1257795048 is 8405977521.

It is a junction number, because it is equal to n+sod(n) for n = 1257794988 and 1257795006.

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, 282165 + ... + 286587.

It is an arithmetic number, because the mean of its divisors is an integer number (35651910).

Almost surely, 2^1257795048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1257795048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711291680).

1257795048 is an abundant number, since it is smaller than the sum of its proper divisors (2164788312).

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

1257795048 is a wasteful number, since it uses less digits than its factorization.

1257795048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4507 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The square root of 1257795048 is about 35465.4063560535. The cubic root of 1257795048 is about 1079.4518960936.

The spelling of 1257795048 in words is "one billion, two hundred fifty-seven million, seven hundred ninety-five thousand, forty-eight".