4284864 has 84 divisors (see below), whose sum is σ = 12640056. Its totient is φ = 1387008.

The previous prime is 4284857. The next prime is 4284871. The reversal of 4284864 is 4684824.

It is an interprime number because it is at equal distance from previous prime (4284857) and next prime (4284871).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 24682 + ... + 24854.

Almost surely, 2^4284864 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 4284864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6320028).

4284864 is an abundant number, since it is smaller than the sum of its proper divisors (8355192).

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

4284864 is a wasteful number, since it uses less digits than its factorization.

4284864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 221 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 4284864 is about 2069.9913043296. The cubic root of 4284864 is about 162.4223092133.

Adding to 4284864 its sum of digits (36), we get a square (4284900 = 2070²).

The spelling of 4284864 in words is "four million, two hundred eighty-four thousand, eight hundred sixty-four".