4282464 has 48 divisors (see below), whose sum is σ = 11612160. Its totient is φ = 1380480.

The previous prime is 4282457. The next prime is 4282469. The reversal of 4282464 is 4642824.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4282464² = 36678995822592, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 4⁶ + 2¹¹ + 8³ + 2¹³ + 4⁸ + 6⁵ + 4¹¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4282469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2257 + ... + 3695.

It is an arithmetic number, because the mean of its divisors is an integer number (241920).

Almost surely, 2^4282464 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 4282464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806080).

4282464 is an abundant number, since it is smaller than the sum of its proper divisors (7329696).

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

4282464 is a wasteful number, since it uses less digits than its factorization.

4282464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1475 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 4282464 is about 2069.4115105508. The cubic root of 4282464 is about 162.3919787022.

The spelling of 4282464 in words is "four million, two hundred eighty-two thousand, four hundred sixty-four".