282532464 has 60 divisors (see below), whose sum is σ = 795615496. Its totient is φ = 93591936.

The previous prime is 282532457. The next prime is 282532477. The reversal of 282532464 is 464235282.

282532464 is a `hidden beast` number, since 2 + 82 + 532 + 46 + 4 = 666.

It is a super-2 number, since 2×282532464² = 159649186427822592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17454 + ... + 29490.

Almost surely, 2^282532464 is an apocalyptic number.

282532464 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 282532464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397807748).

282532464 is an abundant number, since it is smaller than the sum of its proper divisors (513083032).

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

282532464 is a wasteful number, since it uses less digits than its factorization.

282532464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12214 (or 12205 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 282532464 is about 16808.7020319833. The cubic root of 282532464 is about 656.1796924951.

The spelling of 282532464 in words is "two hundred eighty-two million, five hundred thirty-two thousand, four hundred sixty-four".