282385958400 has 2400 divisors, whose sum is σ = 1335739382208. Its totient is φ = 57330892800.

The previous prime is 282385958381. The next prime is 282385958401. The reversal of 282385958400 is 4859583282.

It is a happy number.

282385958400 is a `hidden beast` number, since 2 + 8 + 2 + 3 + 8 + 59 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282385958401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3868300764 + ... + 3868300836.

Almost surely, 2^282385958400 is an apocalyptic number.

282385958400 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 282385958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667869691104).

282385958400 is an abundant number, since it is smaller than the sum of its proper divisors (1053353423808).

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

282385958400 is a wasteful number, since it uses less digits than its factorization.

282385958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 282385958400 in words is "two hundred eighty-two billion, three hundred eighty-five million, nine hundred fifty-eight thousand, four hundred".