1406218848 has 96 divisors (see below), whose sum is σ = 3767258880. Its totient is φ = 459164160.

The previous prime is 1406218841. The next prime is 1406218867. The reversal of 1406218848 is 8488126041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406218841) 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 15 ways as a sum of consecutive naturals, for example, 2570511 + ... + 2571057.

It is an arithmetic number, because the mean of its divisors is an integer number (39242280).

Almost surely, 2^1406218848 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 1406218848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883629440).

1406218848 is an abundant number, since it is smaller than the sum of its proper divisors (2361040032).

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

1406218848 is a wasteful number, since it uses less digits than its factorization.

1406218848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 1406218848 is about 37499.5846376997. The cubic root of 1406218848 is about 1120.3429137059.

The spelling of 1406218848 in words is "one billion, four hundred six million, two hundred eighteen thousand, eight hundred forty-eight".