280965120 has 208 divisors, whose sum is σ = 955398240. Its totient is φ = 70254592.

The previous prime is 280965089. The next prime is 280965149. The reversal of 280965120 is 21569082.

It is a super-2 number, since 2×280965120² = 157882797313228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1044346 + ... + 1044614.

Almost surely, 2^280965120 is an apocalyptic number.

280965120 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 280965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477699120).

280965120 is an abundant number, since it is smaller than the sum of its proper divisors (674433120).

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

280965120 is a wasteful number, since it uses less digits than its factorization.

280965120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 280965120 is about 16762.0141987769. The cubic root of 280965120 is about 654.9640599513.

The spelling of 280965120 in words is "two hundred eighty million, nine hundred sixty-five thousand, one hundred twenty".