283980600 has 192 divisors, whose sum is σ = 1001721600. Its totient is φ = 73906560.

The previous prime is 283980583. The next prime is 283980601. The reversal of 283980600 is 6089382.

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 (283980601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231589 + ... + 232811.

It is an arithmetic number, because the mean of its divisors is an integer number (5217300).

Almost surely, 2^283980600 is an apocalyptic number.

283980600 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 283980600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500860800).

283980600 is an abundant number, since it is smaller than the sum of its proper divisors (717741000).

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

283980600 is a wasteful number, since it uses less digits than its factorization.

283980600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 283980600 is about 16851.7239474186. The cubic root of 283980600 is about 657.2988777980.

The spelling of 283980600 in words is "two hundred eighty-three million, nine hundred eighty thousand, six hundred".