1285705344 has 384 divisors, whose sum is σ = 4427942400. Its totient is φ = 323389440.

The previous prime is 1285705307. The next prime is 1285705361. The reversal of 1285705344 is 4435075821.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19189599 + ... + 19189665.

It is an arithmetic number, because the mean of its divisors is an integer number (11531100).

Almost surely, 2^1285705344 is an apocalyptic number.

1285705344 is a gapful number since it is divisible by the number (14) 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 1285705344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213971200).

1285705344 is an abundant number, since it is smaller than the sum of its proper divisors (3142237056).

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

1285705344 is a wasteful number, since it uses less digits than its factorization.

1285705344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 1285705344 is about 35856.7335935665. The cubic root of 1285705344 is about 1087.3778522077.

The spelling of 1285705344 in words is "one billion, two hundred eighty-five million, seven hundred five thousand, three hundred forty-four".