1282725600 has 144 divisors (see below), whose sum is σ = 4496555952. Its totient is φ = 315740160.

The previous prime is 1282725581. The next prime is 1282725643. The reversal of 1282725600 is 65272821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10644 + ... + 51756.

It is an arithmetic number, because the mean of its divisors is an integer number (31226083).

Almost surely, 2^1282725600 is an apocalyptic number.

1282725600 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 1282725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248277976).

1282725600 is an abundant number, since it is smaller than the sum of its proper divisors (3213830352).

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

1282725600 is a wasteful number, since it uses less digits than its factorization.

1282725600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41149 (or 41136 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 1282725600 is about 35815.1588018258. The cubic root of 1282725600 is about 1086.5371686718.

The spelling of 1282725600 in words is "one billion, two hundred eighty-two million, seven hundred twenty-five thousand, six hundred".