282464 has 48 divisors (see below), whose sum is σ = 691488. Its totient is φ = 110592.

The previous prime is 282461. The next prime is 282481. The reversal of 282464 is 464282.

It is a super-2 number, since 2×282464² = 159571822592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 2¹² + 8⁴ + 4⁴ + 2¹⁸ + 6⁵ + 4⁶ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 282464.

It is not an unprimeable number, because it can be changed into a prime (282461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2864 + ... + 2960.

It is an arithmetic number, because the mean of its divisors is an integer number (14406).

2²⁸²⁴⁶⁴ 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 282464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345744).

282464 is an abundant number, since it is smaller than the sum of its proper divisors (409024).

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

282464 is a wasteful number, since it uses less digits than its factorization.

282464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 282464 is about 531.4734236065. The cubic root of 282464 is about 65.6126685825.

The spelling of 282464 in words is "two hundred eighty-two thousand, four hundred sixty-four".