280257120 has 288 divisors, whose sum is σ = 1124401824. Its totient is φ = 62668800.

The previous prime is 280257097. The next prime is 280257149. The reversal of 280257120 is 21752082.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205240 + ... + 206600.

It is an arithmetic number, because the mean of its divisors is an integer number (3904173).

Almost surely, 2^280257120 is an apocalyptic number.

280257120 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 280257120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562200912).

280257120 is an abundant number, since it is smaller than the sum of its proper divisors (844144704).

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

280257120 is a wasteful number, since it uses less digits than its factorization.

280257120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 280257120 is about 16740.8816972106. The cubic root of 280257120 is about 654.4134523371.

The spelling of 280257120 in words is "two hundred eighty million, two hundred fifty-seven thousand, one hundred twenty".