283668480 has 364 divisors, whose sum is σ = 1074331560. Its totient is φ = 71663616.

The previous prime is 283668439. The next prime is 283668487. The reversal of 283668480 is 84866382.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283668487) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14929911 + ... + 14929929.

Almost surely, 2^283668480 is an apocalyptic number.

283668480 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 283668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537165780).

283668480 is an abundant number, since it is smaller than the sum of its proper divisors (790663080).

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

283668480 is an frugal number, since it uses more digits than its factorization.

283668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 283668480 is about 16842.4606278299. The cubic root of 283668480 is about 657.0579794957.

The spelling of 283668480 in words is "two hundred eighty-three million, six hundred sixty-eight thousand, four hundred eighty".