280485600 has 144 divisors (see below), whose sum is σ = 961188480. Its totient is φ = 70848000.

The previous prime is 280485589. The next prime is 280485607. The reversal of 280485600 is 6584082.

280485600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (280485607) 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, 42525 + ... + 48675.

It is an arithmetic number, because the mean of its divisors is an integer number (6674920).

Almost surely, 2^280485600 is an apocalyptic number.

280485600 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 280485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480594240).

280485600 is an abundant number, since it is smaller than the sum of its proper divisors (680702880).

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

280485600 is a wasteful number, since it uses less digits than its factorization.

280485600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6193 (or 6180 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 280485600 is about 16747.7043202942. The cubic root of 280485600 is about 654.5912411854.

The spelling of 280485600 in words is "two hundred eighty million, four hundred eighty-five thousand, six hundred".