283955760 has 640 divisors, whose sum is σ = 1221350400. Its totient is φ = 59719680.

The previous prime is 283955729. The next prime is 283955761. The reversal of 283955760 is 67559382.

It is a happy number.

283955760 is a `hidden beast` number, since 2 + 8 + 39 + 557 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (283955761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7674462 + ... + 7674498.

It is an arithmetic number, because the mean of its divisors is an integer number (1908360).

Almost surely, 2^283955760 is an apocalyptic number.

283955760 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 283955760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610675200).

283955760 is an abundant number, since it is smaller than the sum of its proper divisors (937394640).

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

283955760 is a wasteful number, since it uses less digits than its factorization.

283955760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 283955760 is about 16850.9869147181. The cubic root of 283955760 is about 657.2797124276.

283955760 divided by its sum of digits (45) gives a triangular number (6310128 = T₃₅₅₂).

The spelling of 283955760 in words is "two hundred eighty-three million, nine hundred fifty-five thousand, seven hundred sixty".