280938240 has 288 divisors, whose sum is σ = 1089043200. Its totient is φ = 68014080.

The previous prime is 280938239. The next prime is 280938253. The reversal of 280938240 is 42839082.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 280938195 and 280938204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379791 + ... + 380529.

It is an arithmetic number, because the mean of its divisors is an integer number (3781400).

Almost surely, 2^280938240 is an apocalyptic number.

280938240 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 280938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544521600).

280938240 is an abundant number, since it is smaller than the sum of its proper divisors (808104960).

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

280938240 is a wasteful number, since it uses less digits than its factorization.

280938240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 280938240 is about 16761.2123666518. The cubic root of 280938240 is about 654.9431724293.

The spelling of 280938240 in words is "two hundred eighty million, nine hundred thirty-eight thousand, two hundred forty".