1257415680 has 176 divisors, whose sum is σ = 4081947264. Its totient is φ = 330301440.

The previous prime is 1257415667. The next prime is 1257415699. The reversal of 1257415680 is 865147521.

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 15 ways as a sum of consecutive naturals, for example, 1089984 + ... + 1091136.

Almost surely, 2^1257415680 is an apocalyptic number.

1257415680 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 1257415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040973632).

1257415680 is an abundant number, since it is smaller than the sum of its proper divisors (2824531584).

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

1257415680 is a wasteful number, since it uses less digits than its factorization.

1257415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 1257415680 is about 35460.0575295642. The cubic root of 1257415680 is about 1079.3433594165.

The spelling of 1257415680 in words is "one billion, two hundred fifty-seven million, four hundred fifteen thousand, six hundred eighty".