282538480 has 80 divisors (see below), whose sum is σ = 753255360. Its totient is φ = 96546816.

The previous prime is 282538471. The next prime is 282538483. The reversal of 282538480 is 84835282.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282538483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217192 + ... + 218488.

It is an arithmetic number, because the mean of its divisors is an integer number (9415692).

Almost surely, 2^282538480 is an apocalyptic number.

282538480 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 282538480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376627680).

282538480 is an abundant number, since it is smaller than the sum of its proper divisors (470716880).

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

282538480 is a wasteful number, since it uses less digits than its factorization.

282538480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 282538480 is about 16808.8809859550. The cubic root of 282538480 is about 656.1843498348.

The spelling of 282538480 in words is "two hundred eighty-two million, five hundred thirty-eight thousand, four hundred eighty".