1251028800 has 630 divisors, whose sum is σ = 5376390822. Its totient is φ = 284497920.

The previous prime is 1251028783. The next prime is 1251028819. The reversal of 1251028800 is 88201521.

It can be written as a sum of positive squares in 3 ways, for example, as 366799104 + 884229696 = 19152^2 + 29736^2 .

It is a tau number, because it is divible by the number of its divisors (630).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 6350302 + ... + 6350498.

Almost surely, 2^1251028800 is an apocalyptic number.

1251028800 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 1251028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688195411).

1251028800 is an abundant number, since it is smaller than the sum of its proper divisors (4125362022).

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

1251028800 is a wasteful number, since it uses less digits than its factorization.

1251028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 1251028800 is about 35369.8854959979. The cubic root of 1251028800 is about 1077.5127949629.

The spelling of 1251028800 in words is "one billion, two hundred fifty-one million, twenty-eight thousand, eight hundred".