1257948672 has 40 divisors (see below), whose sum is σ = 3351257976. Its totient is φ = 419315712.

The previous prime is 1257948577. The next prime is 1257948673. The reversal of 1257948672 is 2768497521.

It is a happy number.

It is a super-2 number, since 2×1257948672² = 3164869722773127168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1257948673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 407953 + ... + 411024.

Almost surely, 2^1257948672 is an apocalyptic number.

1257948672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1257948672 is an abundant number, since it is smaller than the sum of its proper divisors (2093309304).

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

1257948672 is an frugal number, since it uses more digits than its factorization.

1257948672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818998 (or 818982 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 51.

The square root of 1257948672 is about 35467.5721187679. The cubic root of 1257948672 is about 1079.4958415062.

The spelling of 1257948672 in words is "one billion, two hundred fifty-seven million, nine hundred forty-eight thousand, six hundred seventy-two".