1408742048 has 96 divisors (see below), whose sum is σ = 3296764800. Its totient is φ = 579769344.

The previous prime is 1408742011. The next prime is 1408742059. The reversal of 1408742048 is 8402478041.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1487111 + ... + 1488057.

It is an arithmetic number, because the mean of its divisors is an integer number (34341300).

Almost surely, 2^1408742048 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 1408742048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648382400).

1408742048 is an abundant number, since it is smaller than the sum of its proper divisors (1888022752).

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

1408742048 is a wasteful number, since it uses less digits than its factorization.

1408742048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 38.

The square root of 1408742048 is about 37533.2125989769. The cubic root of 1408742048 is about 1121.0125961370.

The spelling of 1408742048 in words is "one billion, four hundred eight million, seven hundred forty-two thousand, forty-eight".