1248048000 has 448 divisors, whose sum is σ = 4695790320. Its totient is φ = 329702400.

The previous prime is 1248047987. The next prime is 1248048007. The reversal of 1248048000 is 8408421.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1248048007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11663947 + ... + 11664053.

Almost surely, 2^1248048000 is an apocalyptic number.

1248048000 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 1248048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347895160).

1248048000 is an abundant number, since it is smaller than the sum of its proper divisors (3447742320).

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

1248048000 is an frugal number, since it uses more digits than its factorization.

1248048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1248048000 is about 35327.7228249996. The cubic root of 1248048000 is about 1076.6563253498.

The spelling of 1248048000 in words is "one billion, two hundred forty-eight million, forty-eight thousand".