4723824 has 80 divisors (see below), whose sum is σ = 14784768. Its totient is φ = 1268736.

The previous prime is 4723813. The next prime is 4723847. The reversal of 4723824 is 4283274.

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 + 7³ + 2¹⁸ + 3⁶ + 8² + 2²² + 4⁹ .

It is a junction number, because it is equal to n+sod(n) for n = 4723791 and 4723800.

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 15 ways as a sum of consecutive naturals, for example, 5299 + ... + 6125.

Almost surely, 2^4723824 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 4723824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7392384).

4723824 is an abundant number, since it is smaller than the sum of its proper divisors (10060944).

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

4723824 is a wasteful number, since it uses less digits than its factorization.

4723824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 856 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 4723824 is about 2173.4359893956. The cubic root of 4723824 is about 167.7894186947.

It can be divided in two parts, 47 and 23824, that added together give a triangular number (23871 = T₂₁₈).

The spelling of 4723824 in words is "four million, seven hundred twenty-three thousand, eight hundred twenty-four".