280962 has 48 divisors (see below), whose sum is σ = 702240. Its totient is φ = 83160.

The previous prime is 280957. The next prime is 280963. The reversal of 280962 is 269082.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 280962.

It is not an unprimeable number, because it can be changed into a prime (280963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6513 + ... + 6555.

It is an arithmetic number, because the mean of its divisors is an integer number (14630).

2²⁸⁰⁹⁶² is an apocalyptic number.

280962 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 280962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351120).

280962 is an abundant number, since it is smaller than the sum of its proper divisors (421278).

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

280962 is a wasteful number, since it uses less digits than its factorization.

280962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 280962 is about 530.0584873389. The cubic root of 280962 is about 65.4961635575.

The spelling of 280962 in words is "two hundred eighty thousand, nine hundred sixty-two".