282266400 has 288 divisors, whose sum is σ = 1010560320. Its totient is φ = 68014080.

The previous prime is 282266389. The next prime is 282266407. The reversal of 282266400 is 4662282.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282266407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2589546 + ... + 2589654.

It is an arithmetic number, because the mean of its divisors is an integer number (3508890).

Almost surely, 2^282266400 is an apocalyptic number.

282266400 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 282266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505280160).

282266400 is an abundant number, since it is smaller than the sum of its proper divisors (728293920).

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

282266400 is a wasteful number, since it uses less digits than its factorization.

282266400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 282266400 is about 16800.7856959132. The cubic root of 282266400 is about 655.9736505379.

The spelling of 282266400 in words is "two hundred eighty-two million, two hundred sixty-six thousand, four hundred".