4864824 has 24 divisors (see below), whose sum is σ = 13175760. Its totient is φ = 1621584.

The previous prime is 4864823. The next prime is 4864831. The reversal of 4864824 is 4284684.

4864824 is a `hidden beast` number, since 4 + 8 + 648 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4864823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33712 + ... + 33855.

It is an arithmetic number, because the mean of its divisors is an integer number (548990).

Almost surely, 2^4864824 is an apocalyptic number.

It is an amenable number.

4864824 is an abundant number, since it is smaller than the sum of its proper divisors (8310936).

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

4864824 is a wasteful number, since it uses less digits than its factorization.

4864824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67579 (or 67572 counting only the distinct ones).

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

The square root of 4864824 is about 2205.6346025577. The cubic root of 4864824 is about 169.4425105894.

The spelling of 4864824 in words is "four million, eight hundred sixty-four thousand, eight hundred twenty-four".