280416 has 48 divisors (see below), whose sum is σ = 774144. Its totient is φ = 88704.

The previous prime is 280411. The next prime is 280451. The reversal of 280416 is 614082.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 280392 and 280401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (280411) by changing a digit.

280416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2145 + ... + 2271.

It is an arithmetic number, because the mean of its divisors is an integer number (16128).

2²⁸⁰⁴¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 280416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387072).

280416 is an abundant number, since it is smaller than the sum of its proper divisors (493728).

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

280416 is a wasteful number, since it uses less digits than its factorization.

280416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 280416 is about 529.5431993709. The cubic root of 280416 is about 65.4537093047.

Adding to 280416 its reverse (614082), we get a palindrome (894498).

It can be divided in two parts, 280 and 416, that added together give a palindrome (696).

The spelling of 280416 in words is "two hundred eighty thousand, four hundred sixteen".