282300480 has 672 divisors, whose sum is σ = 1293327360. Its totient is φ = 54743040.

The previous prime is 282300479. The next prime is 282300481. The reversal of 282300480 is 84003282.

282300480 is a `hidden beast` number, since 282 + 300 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (282300479) and next prime (282300481).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×282300480² = 159387122016460800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282300481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4213407 + ... + 4213473.

Almost surely, 2^282300480 is an apocalyptic number.

282300480 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 282300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646663680).

282300480 is an abundant number, since it is smaller than the sum of its proper divisors (1011026880).

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

282300480 is a wasteful number, since it uses less digits than its factorization.

282300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 282300480 is about 16801.7999035818. The cubic root of 282300480 is about 656.0000495737. Note that the first 4 decimals are identical.

The spelling of 282300480 in words is "two hundred eighty-two million, three hundred thousand, four hundred eighty".