4993824 has 48 divisors (see below), whose sum is σ = 14303520. Its totient is φ = 1512960.

The previous prime is 4993823. The next prime is 4993837. The reversal of 4993824 is 4283994.

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

It is not an unprimeable number, because it can be changed into a prime (4993823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1309 + ... + 3420.

It is an arithmetic number, because the mean of its divisors is an integer number (297990).

Almost surely, 2^4993824 is an apocalyptic number.

4993824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4993824 is an abundant number, since it is smaller than the sum of its proper divisors (9309696).

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

4993824 is a wasteful number, since it uses less digits than its factorization.

4993824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4753 (or 4745 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 4993824 is about 2234.6865552019. The cubic root of 4993824 is about 170.9271602499.

The spelling of 4993824 in words is "four million, nine hundred ninety-three thousand, eight hundred twenty-four".