1248948480 has 288 divisors, whose sum is σ = 4351463424. Its totient is φ = 303464448.

The previous prime is 1248948479. The next prime is 1248948509. The reversal of 1248948480 is 848498421.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 6339742 + ... + 6339938.

It is an arithmetic number, because the mean of its divisors is an integer number (15109248).

Almost surely, 2^1248948480 is an apocalyptic number.

1248948480 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 1248948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175731712).

1248948480 is an abundant number, since it is smaller than the sum of its proper divisors (3102514944).

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

1248948480 is a wasteful number, since it uses less digits than its factorization.

1248948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The square root of 1248948480 is about 35340.4651921844. The cubic root of 1248948480 is about 1076.9152027891.

The spelling of 1248948480 in words is "one billion, two hundred forty-eight million, nine hundred forty-eight thousand, four hundred eighty".