1205408928 has 96 divisors (see below), whose sum is σ = 3213665280. Its totient is φ = 395575040.

The previous prime is 1205408927. The next prime is 1205408951. The reversal of 1205408928 is 8298045021.

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

It is not an unprimeable number, because it can be changed into a prime (1205408927) 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, 2454763 + ... + 2455253.

It is an arithmetic number, because the mean of its divisors is an integer number (33475680).

Almost surely, 2^1205408928 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 1205408928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606832640).

1205408928 is an abundant number, since it is smaller than the sum of its proper divisors (2008256352).

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

1205408928 is a wasteful number, since it uses less digits than its factorization.

1205408928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 1205408928 is about 34718.9995247559. Note that the first 3 decimals coincide. The cubic root of 1205408928 is about 1064.2527995243.

The spelling of 1205408928 in words is "one billion, two hundred five million, four hundred eight thousand, nine hundred twenty-eight".