1257828420 has 24 divisors (see below), whose sum is σ = 3521919744. Its totient is φ = 335420896.

The previous prime is 1257828323. The next prime is 1257828437. The reversal of 1257828420 is 248287521.

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, 10481844 + ... + 10481963.

It is an arithmetic number, because the mean of its divisors is an integer number (146746656).

Almost surely, 2^1257828420 is an apocalyptic number.

1257828420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1257828420 is an abundant number, since it is smaller than the sum of its proper divisors (2264091324).

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

1257828420 is a wasteful number, since it uses less digits than its factorization.

1257828420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20963819 (or 20963817 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 1257828420 is about 35465.8768395764. The cubic root of 1257828420 is about 1079.4614427337.

The spelling of 1257828420 in words is "one billion, two hundred fifty-seven million, eight hundred twenty-eight thousand, four hundred twenty".