280969920 has 504 divisors, whose sum is σ = 1233178128. Its totient is φ = 58060800.

The previous prime is 280969903. The next prime is 280969939. The reversal of 280969920 is 29969082.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1552230 + ... + 1552410.

It is an arithmetic number, because the mean of its divisors is an integer number (2446782).

Almost surely, 2^280969920 is an apocalyptic number.

280969920 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 280969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616589064).

280969920 is an abundant number, since it is smaller than the sum of its proper divisors (952208208).

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

280969920 is a wasteful number, since it uses less digits than its factorization.

280969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 280969920 is about 16762.1573790488. The cubic root of 280969920 is about 654.9677897258.

The spelling of 280969920 in words is "two hundred eighty million, nine hundred sixty-nine thousand, nine hundred twenty".