282274800 has 240 divisors, whose sum is σ = 973946592. Its totient is φ = 69632000.

The previous prime is 282274781. The next prime is 282274801. The reversal of 282274800 is 8472282.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282274801) 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, 2060332 + ... + 2060468.

Almost surely, 2^282274800 is an apocalyptic number.

282274800 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 282274800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486973296).

282274800 is an abundant number, since it is smaller than the sum of its proper divisors (691671792).

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

282274800 is a wasteful number, since it uses less digits than its factorization.

282274800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 282274800 is about 16801.0356823620. The cubic root of 282274800 is about 655.9801575398.

It can be divided in two parts, 28227 and 4800, that multiplied together give a square (135489600 = 11640²).

The spelling of 282274800 in words is "two hundred eighty-two million, two hundred seventy-four thousand, eight hundred".