1252800 has 168 divisors, whose sum is σ = 4724400. Its totient is φ = 322560.

The previous prime is 1252799. The next prime is 1252817. The reversal of 1252800 is 82521.

1252800 = T₁₆₅ + T₁₆₆ + ... + T₂₂₈.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43186 + ... + 43214.

2^1252800 is an apocalyptic number.

1252800 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 1252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362200).

1252800 is an abundant number, since it is smaller than the sum of its proper divisors (3471600).

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

1252800 is a wasteful number, since it uses less digits than its factorization.

1252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1252800 is about 1119.2854863707. The cubic root of 1252800 is about 107.8021067486.

The spelling of 1252800 in words is "one million, two hundred fifty-two thousand, eight hundred".