282401832960 has 864 divisors, whose sum is σ = 1099238999040. Its totient is φ = 66588770304.

The previous prime is 282401832953. The next prime is 282401832997. The reversal of 282401832960 is 69238104282.

282401832960 is a `hidden beast` number, since 2 + 82 + 401 + 83 + 2 + 96 + 0 = 666.

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

It is a congruent number.

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, 2223636417 + ... + 2223636543.

It is an arithmetic number, because the mean of its divisors is an integer number (1272267360).

Almost surely, 2^282401832960 is an apocalyptic number.

282401832960 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 282401832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549619499520).

282401832960 is an abundant number, since it is smaller than the sum of its proper divisors (816837166080).

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

282401832960 is a wasteful number, since it uses less digits than its factorization.

282401832960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 282401832960 in words is "two hundred eighty-two billion, four hundred one million, eight hundred thirty-two thousand, nine hundred sixty".