1257850672 has 80 divisors (see below), whose sum is σ = 2801820672. Its totient is φ = 541900800.

The previous prime is 1257850639. The next prime is 1257850691. The reversal of 1257850672 is 2760587521.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447672 + ... + 450472.

Almost surely, 2^1257850672 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 1257850672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400910336).

1257850672 is an abundant number, since it is smaller than the sum of its proper divisors (1543970000).

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

1257850672 is a wasteful number, since it uses less digits than its factorization.

1257850672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 43.

The square root of 1257850672 is about 35466.1905481826. The cubic root of 1257850672 is about 1079.4678082109.

It can be divided in two parts, 1257 and 850672, that added together give a square (851929 = 923²).

The spelling of 1257850672 in words is "one billion, two hundred fifty-seven million, eight hundred fifty thousand, six hundred seventy-two".