1244382048 has 768 divisors, whose sum is σ = 5080320000. Its totient is φ = 292626432.

The previous prime is 1244382043. The next prime is 1244382049. The reversal of 1244382048 is 8402834421.

1244382048 is a `hidden beast` number, since 1 + 2 + 443 + 8 + 204 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1244382043) 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 127 ways as a sum of consecutive naturals, for example, 65493783 + ... + 65493801.

It is an arithmetic number, because the mean of its divisors is an integer number (6615000).

Almost surely, 2^1244382048 is an apocalyptic number.

1244382048 is a gapful number since it is divisible by the number (18) 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 1244382048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160000).

1244382048 is an abundant number, since it is smaller than the sum of its proper divisors (3835937952).

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

1244382048 is a wasteful number, since it uses less digits than its factorization.

1244382048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 1244382048 is about 35275.7997499702. The cubic root of 1244382048 is about 1075.6011198687.

The spelling of 1244382048 in words is "one billion, two hundred forty-four million, three hundred eighty-two thousand, forty-eight".