280964880 has 240 divisors, whose sum is σ = 1090537344. Its totient is φ = 63498240.

The previous prime is 280964839. The next prime is 280964897. The reversal of 280964880 is 88469082.

It is a happy number.

280964880 is a `hidden beast` number, since 2 + 80 + 96 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 539020 + ... + 539540.

Almost surely, 2^280964880 is an apocalyptic number.

280964880 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 280964880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545268672).

280964880 is an abundant number, since it is smaller than the sum of its proper divisors (809572464).

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

280964880 is a wasteful number, since it uses less digits than its factorization.

280964880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 280964880 is about 16762.0070397313. The cubic root of 280964880 is about 654.9638734615.

The spelling of 280964880 in words is "two hundred eighty million, nine hundred sixty-four thousand, eight hundred eighty".