1282065408 has 440 divisors, whose sum is σ = 4369198680. Its totient is φ = 371589120.

The previous prime is 1282065403. The next prime is 1282065409. The reversal of 1282065408 is 8045602821.

It can be written as a sum of positive squares in 4 ways, for example, as 6718464 + 1275346944 = 2592^2 + 35712^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1282065401) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31269868 + ... + 31269908.

It is an arithmetic number, because the mean of its divisors is an integer number (9929997).

Almost surely, 2^1282065408 is an apocalyptic number.

1282065408 is a gapful number since it is divisible by the number (18) 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 1282065408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184599340).

1282065408 is an abundant number, since it is smaller than the sum of its proper divisors (3087133272).

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

1282065408 is a wasteful number, since it uses less digits than its factorization.

1282065408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1282065408 is about 35805.9409595670. The cubic root of 1282065408 is about 1086.3507307084.

The spelling of 1282065408 in words is "one billion, two hundred eighty-two million, sixty-five thousand, four hundred eight".