1248780288 has 336 divisors, whose sum is σ = 4168621584. Its totient is φ = 330301440.

The previous prime is 1248780277. The next prime is 1248780293. The reversal of 1248780288 is 8820878421.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 23 ways as a sum of consecutive naturals, for example, 20471778 + ... + 20471838.

Almost surely, 2^1248780288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1248780288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084310792).

1248780288 is an abundant number, since it is smaller than the sum of its proper divisors (2919841296).

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

1248780288 is an equidigital number, since it uses as much as digits as its factorization.

1248780288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 48.

The square root of 1248780288 is about 35338.0855169037. The cubic root of 1248780288 is about 1076.8668590141.

The spelling of 1248780288 in words is "one billion, two hundred forty-eight million, seven hundred eighty thousand, two hundred eighty-eight".