282398400 has 210 divisors, whose sum is σ = 1038501860. Its totient is φ = 75271680.

The previous prime is 282398357. The next prime is 282398429. The reversal of 282398400 is 4893282.

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

It is a zygodrome in base 6 and base 7.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 128511 + ... + 130689.

Almost surely, 2^282398400 is an apocalyptic number.

282398400 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 282398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519250930).

282398400 is an abundant number, since it is smaller than the sum of its proper divisors (756103460).

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

282398400 is a wasteful number, since it uses less digits than its factorization.

282398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 282398400 is about 16804.7136244567. The cubic root of 282398400 is about 656.0758885040.

The spelling of 282398400 in words is "two hundred eighty-two million, three hundred ninety-eight thousand, four hundred".