283875840 has 300 divisors, whose sum is σ = 1044976086. Its totient is φ = 73654272.

The previous prime is 283875829. The next prime is 283875859. The reversal of 283875840 is 48578382.

It can be written as a sum of positive squares in 3 ways, for example, as 283855104 + 20736 = 16848^2 + 144^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 29 ways as a sum of consecutive naturals, for example, 7672302 + ... + 7672338.

Almost surely, 2^283875840 is an apocalyptic number.

283875840 is a gapful number since it is divisible by the number (20) 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 283875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522488043).

283875840 is an abundant number, since it is smaller than the sum of its proper divisors (761100246).

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

283875840 is an frugal number, since it uses more digits than its factorization.

283875840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 283875840 is about 16848.6153733771. The cubic root of 283875840 is about 657.2180423472.

The spelling of 283875840 in words is "two hundred eighty-three million, eight hundred seventy-five thousand, eight hundred forty".