1257845960 has 64 divisors (see below), whose sum is σ = 3303313920. Its totient is φ = 422081280.

The previous prime is 1257845951. The next prime is 1257845977. The reversal of 1257845960 is 695487521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (47).

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, 34631 + ... + 60950.

It is an arithmetic number, because the mean of its divisors is an integer number (51614280).

Almost surely, 2^1257845960 is an apocalyptic number.

1257845960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1257845960 is an abundant number, since it is smaller than the sum of its proper divisors (2045467960).

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

1257845960 is a wasteful number, since it uses less digits than its factorization.

1257845960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95646 (or 95642 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 47.

The square root of 1257845960 is about 35466.1241186572. The cubic root of 1257845960 is about 1079.4664602876.

The spelling of 1257845960 in words is "one billion, two hundred fifty-seven million, eight hundred forty-five thousand, nine hundred sixty".