4138824 has 32 divisors (see below), whose sum is σ = 10398240. Its totient is φ = 1372800.

The previous prime is 4138819. The next prime is 4138829. The reversal of 4138824 is 4288314.

It is an interprime number because it is at equal distance from previous prime (4138819) and next prime (4138829).

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

It is a junction number, because it is equal to n+sod(n) for n = 4138791 and 4138800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138829) 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, 7684 + ... + 8204.

It is an arithmetic number, because the mean of its divisors is an integer number (324945).

Almost surely, 2^4138824 is an apocalyptic number.

It is an amenable number.

4138824 is an abundant number, since it is smaller than the sum of its proper divisors (6259416).

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

4138824 is a wasteful number, since it uses less digits than its factorization.

4138824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 857 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 4138824 is about 2034.4099881784. The cubic root of 4138824 is about 160.5556721108. Note that the first 3 decimals are identical.

The spelling of 4138824 in words is "four million, one hundred thirty-eight thousand, eight hundred twenty-four".