4672824 has 64 divisors (see below), whose sum is σ = 13335840. Its totient is φ = 1351680.

The previous prime is 4672823. The next prime is 4672873. The reversal of 4672824 is 4282764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4672823) 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 15 ways as a sum of consecutive naturals, for example, 4864 + ... + 5744.

Almost surely, 2^4672824 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 4672824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6667920).

4672824 is an abundant number, since it is smaller than the sum of its proper divisors (8663016).

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

4672824 is a wasteful number, since it uses less digits than its factorization.

4672824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 916 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 4672824 is about 2161.6715754249. The cubic root of 4672824 is about 167.1833954039.

The spelling of 4672824 in words is "four million, six hundred seventy-two thousand, eight hundred twenty-four".