1257081400 has 48 divisors (see below), whose sum is σ = 2933394840. Its totient is φ = 500995200.

The previous prime is 1257081391. The next prime is 1257081431. The reversal of 1257081400 is 41807521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44055 + ... + 66745.

Almost surely, 2^1257081400 is an apocalyptic number.

1257081400 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 1257081400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466697420).

1257081400 is an abundant number, since it is smaller than the sum of its proper divisors (1676313440).

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

1257081400 is a wasteful number, since it uses less digits than its factorization.

1257081400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22984 (or 22975 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 1257081400 is about 35455.3437439267. The cubic root of 1257081400 is about 1079.2477042614.

Adding to 1257081400 its reverse (41807521), we get a palindrome (1298888921).

The spelling of 1257081400 in words is "one billion, two hundred fifty-seven million, eighty-one thousand, four hundred".