280984806400 has 99 divisors (see below), whose sum is σ = 696712361331. Its totient is φ = 112359997440.

The previous prime is 280984806359. The next prime is 280984806433. The reversal of 280984806400 is 4608489082.

The square root of 280984806400 is 530080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 35730072576 + 245254733824 = 189024^2 + 495232^2 .

It is a super-2 number, since 2×280984806400² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 84811144 + ... + 84814456.

Almost surely, 2^280984806400 is an apocalyptic number.

280984806400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

280984806400 is the 530080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 280984806400

280984806400 is an abundant number, since it is smaller than the sum of its proper divisors (415727554931).

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

280984806400 is an frugal number, since it uses more digits than its factorization.

280984806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6656 (or 3320 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 49.

Multiplying 280984806400 by its sum of digits (49), we get a square (13768255513600 = 3710560²).

The spelling of 280984806400 in words is "two hundred eighty billion, nine hundred eighty-four million, eight hundred six thousand, four hundred".