1282483680 has 96 divisors (see below), whose sum is σ = 4215504384. Its totient is φ = 327123456.

The previous prime is 1282483673. The next prime is 1282483687. The reversal of 1282483680 is 863842821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1282483673) and next prime (1282483687).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1282483687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47044 + ... + 69123.

It is an arithmetic number, because the mean of its divisors is an integer number (43911504).

Almost surely, 2^1282483680 is an apocalyptic number.

1282483680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1282483680 is an abundant number, since it is smaller than the sum of its proper divisors (2933020704).

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

1282483680 is a wasteful number, since it uses less digits than its factorization.

1282483680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116208 (or 116200 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 1282483680 is about 35811.7813016890. The cubic root of 1282483680 is about 1086.4688579855.

The spelling of 1282483680 in words is "one billion, two hundred eighty-two million, four hundred eighty-three thousand, six hundred eighty".