282449664 has 216 divisors, whose sum is σ = 946388352. Its totient is φ = 79349760.

The previous prime is 282449663. The next prime is 282449677. The reversal of 282449664 is 466944282.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282449663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1338519 + ... + 1338729.

Almost surely, 2^282449664 is an apocalyptic number.

282449664 is a gapful number since it is divisible by the number (24) 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 282449664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473194176).

282449664 is an abundant number, since it is smaller than the sum of its proper divisors (663938688).

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

282449664 is a wasteful number, since it uses less digits than its factorization.

282449664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 306 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 282449664 is about 16806.2388415731. The cubic root of 282449664 is about 656.1155854232.

The spelling of 282449664 in words is "two hundred eighty-two million, four hundred forty-nine thousand, six hundred sixty-four".