1248352000 has 144 divisors (see below), whose sum is σ = 3554695872. Its totient is φ = 427929600.

The previous prime is 1248351977. The next prime is 1248352013. The reversal of 1248352000 is 2538421.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 221214 + ... + 226786.

It is an arithmetic number, because the mean of its divisors is an integer number (24685388).

Almost surely, 2^1248352000 is an apocalyptic number.

1248352000 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 1248352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777347936).

1248352000 is an abundant number, since it is smaller than the sum of its proper divisors (2306343872).

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

1248352000 is an frugal number, since it uses more digits than its factorization.

1248352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5611 (or 5587 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 1248352000 is about 35332.0251330149. The cubic root of 1248352000 is about 1076.7437357035.

The spelling of 1248352000 in words is "one billion, two hundred forty-eight million, three hundred fifty-two thousand".