1257200 has 60 divisors (see below), whose sum is σ = 3459600. Its totient is φ = 430080.

The previous prime is 1257199. The next prime is 1257209. The reversal of 1257200 is 27521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1257209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2576 + ... + 3024.

It is an arithmetic number, because the mean of its divisors is an integer number (57660).

2^1257200 is an apocalyptic number.

1257200 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 1257200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729800).

1257200 is an abundant number, since it is smaller than the sum of its proper divisors (2202400).

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

1257200 is a wasteful number, since it uses less digits than its factorization.

1257200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 1257200 is about 1121.2493032328. The cubic root of 1257200 is about 107.9281643923.

The spelling of 1257200 in words is "one million, two hundred fifty-seven thousand, two hundred".