1248436800 has 756 divisors, whose sum is σ = 5245028880. Its totient is φ = 291133440.

The previous prime is 1248436793. The next prime is 1248436811. The reversal of 1248436800 is 86348421.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 107 ways as a sum of consecutive naturals, for example, 65707191 + ... + 65707209.

Almost surely, 2^1248436800 is an apocalyptic number.

1248436800 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 1248436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622514440).

1248436800 is an abundant number, since it is smaller than the sum of its proper divisors (3996592080).

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

1248436800 is a wasteful number, since it uses less digits than its factorization.

1248436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1248436800 is about 35333.2251570671. The cubic root of 1248436800 is about 1076.7681160603.

It can be divided in two parts, 12484 and 36800, that added together give a square (49284 = 222²).

The spelling of 1248436800 in words is "one billion, two hundred forty-eight million, four hundred thirty-six thousand, eight hundred".