1285333408 has 48 divisors (see below), whose sum is σ = 2656523520. Its totient is φ = 611366400.

The previous prime is 1285333381. The next prime is 1285333453. The reversal of 1285333408 is 8043335821.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47548 + ... + 69508.

It is an arithmetic number, because the mean of its divisors is an integer number (55344240).

Almost surely, 2^1285333408 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 1285333408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328261760).

1285333408 is an abundant number, since it is smaller than the sum of its proper divisors (1371190112).

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

1285333408 is a wasteful number, since it uses less digits than its factorization.

1285333408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22061 (or 22053 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 1285333408 is about 35851.5468006612. The cubic root of 1285333408 is about 1087.2729878555.

The spelling of 1285333408 in words is "one billion, two hundred eighty-five million, three hundred thirty-three thousand, four hundred eight".