1257376416 has 48 divisors (see below), whose sum is σ = 3377382624. Its totient is φ = 409377024.

The previous prime is 1257376387. The next prime is 1257376427. The reversal of 1257376416 is 6146737521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148171 + ... + 156426.

It is an arithmetic number, because the mean of its divisors is an integer number (70362138).

Almost surely, 2^1257376416 is an apocalyptic number.

1257376416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1257376416 is an abundant number, since it is smaller than the sum of its proper divisors (2120006208).

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

1257376416 is a wasteful number, since it uses less digits than its factorization.

1257376416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304653 (or 304645 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 1257376416 is about 35459.5038882385. The cubic root of 1257376416 is about 1079.3321247920.

The spelling of 1257376416 in words is "one billion, two hundred fifty-seven million, three hundred seventy-six thousand, four hundred sixteen".