1258252800 has 480 divisors, whose sum is σ = 4936065024. Its totient is φ = 276480000.

The previous prime is 1258252781. The next prime is 1258252817. The reversal of 1258252800 is 82528521.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8332725 + ... + 8332875.

Almost surely, 2^1258252800 is an apocalyptic number.

1258252800 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 1258252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468032512).

1258252800 is an abundant number, since it is smaller than the sum of its proper divisors (3677812224).

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

1258252800 is a wasteful number, since it uses less digits than its factorization.

1258252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 1258252800 is about 35471.8592690036. The cubic root of 1258252800 is about 1079.5828292784.

The spelling of 1258252800 in words is "one billion, two hundred fifty-eight million, two hundred fifty-two thousand, eight hundred".