282804480 has 432 divisors, whose sum is σ = 1174400640. Its totient is φ = 64253952.

The previous prime is 282804451. The next prime is 282804539. The reversal of 282804480 is 84408282.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1693357 + ... + 1693523.

It is an arithmetic number, because the mean of its divisors is an integer number (2718520).

Almost surely, 2^282804480 is an apocalyptic number.

282804480 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 282804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587200320).

282804480 is an abundant number, since it is smaller than the sum of its proper divisors (891596160).

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

282804480 is a wasteful number, since it uses less digits than its factorization.

282804480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 282804480 is about 16816.7916083895. The cubic root of 282804480 is about 656.3902100415.

The spelling of 282804480 in words is "two hundred eighty-two million, eight hundred four thousand, four hundred eighty".