1283672480 has 48 divisors (see below), whose sum is σ = 3042363240. Its totient is φ = 511828992.

The previous prime is 1283672477. The next prime is 1283672491. The reversal of 1283672480 is 842763821.

It can be written as a sum of positive squares in 4 ways, for example, as 771283984 + 512388496 = 27772^2 + 22636^2 .

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 7 ways as a sum of consecutive naturals, for example, 38066 + ... + 63374.

Almost surely, 2^1283672480 is an apocalyptic number.

1283672480 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 1283672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521181620).

1283672480 is an abundant number, since it is smaller than the sum of its proper divisors (1758690760).

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

1283672480 is a wasteful number, since it uses less digits than its factorization.

1283672480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25641 (or 25633 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 1283672480 is about 35828.3753469230. The cubic root of 1283672480 is about 1086.8044555769.

The spelling of 1283672480 in words is "one billion, two hundred eighty-three million, six hundred seventy-two thousand, four hundred eighty".