283242960 has 640 divisors, whose sum is σ = 1319915520. Its totient is φ = 53913600.

The previous prime is 283242923. The next prime is 283242961. The reversal of 283242960 is 69242382.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283242961) 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 127 ways as a sum of consecutive naturals, for example, 2162095 + ... + 2162225.

It is an arithmetic number, because the mean of its divisors is an integer number (2062368).

Almost surely, 2^283242960 is an apocalyptic number.

283242960 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 283242960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659957760).

283242960 is an abundant number, since it is smaller than the sum of its proper divisors (1036672560).

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

283242960 is a wasteful number, since it uses less digits than its factorization.

283242960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 283242960 is about 16829.8235284866. The cubic root of 283242960 is about 656.7292727493.

It can be divided in two parts, 2832429 and 60, that added together give a square (2832489 = 1683²).

The spelling of 283242960 in words is "two hundred eighty-three million, two hundred forty-two thousand, nine hundred sixty".