1285352240 has 160 divisors (see below), whose sum is σ = 3239792640. Its totient is φ = 473065472.

The previous prime is 1285352231. The next prime is 1285352267. The reversal of 1285352240 is 422535821.

It is a junction number, because it is equal to n+sod(n) for n = 1285352197 and 1285352206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7696637 + ... + 7696803.

It is an arithmetic number, because the mean of its divisors is an integer number (20248704).

Almost surely, 2^1285352240 is an apocalyptic number.

1285352240 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 1285352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619896320).

1285352240 is an abundant number, since it is smaller than the sum of its proper divisors (1954440400).

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

1285352240 is a wasteful number, since it uses less digits than its factorization.

1285352240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 1285352240 is about 35851.8094382975. The cubic root of 1285352240 is about 1087.2782978720.

The spelling of 1285352240 in words is "one billion, two hundred eighty-five million, three hundred fifty-two thousand, two hundred forty".