1258248000 has 224 divisors, whose sum is σ = 4203313920. Its totient is φ = 331622400.

The previous prime is 1258247993. The next prime is 1258248023. The reversal of 1258248000 is 8428521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2471746 + ... + 2472254.

Almost surely, 2^1258248000 is an apocalyptic number.

1258248000 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 1258248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101656960).

1258248000 is an abundant number, since it is smaller than the sum of its proper divisors (2945065920).

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

1258248000 is a wasteful number, since it uses less digits than its factorization.

1258248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 1258248000 is about 35471.7916096720. The cubic root of 1258248000 is about 1079.5814564742.

The spelling of 1258248000 in words is "one billion, two hundred fifty-eight million, two hundred forty-eight thousand".