282465648 has 60 divisors (see below), whose sum is σ = 797553120. Its totient is φ = 93316608.

The previous prime is 282465613. The next prime is 282465661. The reversal of 282465648 is 846564282.

282465648 is a `hidden beast` number, since 2 + 82 + 4 + 6 + 564 + 8 = 666.

It is a super-3 number, since 3×282465648³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7593 + ... + 24951.

It is an arithmetic number, because the mean of its divisors is an integer number (13292552).

Almost surely, 2^282465648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282465648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398776560).

282465648 is an abundant number, since it is smaller than the sum of its proper divisors (515087472).

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

282465648 is a wasteful number, since it uses less digits than its factorization.

282465648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17486 (or 17477 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 282465648 is about 16806.7143725358. The cubic root of 282465648 is about 656.1279618511.

The spelling of 282465648 in words is "two hundred eighty-two million, four hundred sixty-five thousand, six hundred forty-eight".