4127424 has 112 divisors (see below), whose sum is σ = 12972288. Its totient is φ = 1133568.

The previous prime is 4127407. The next prime is 4127467. The reversal of 4127424 is 4247214.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 4127394 and 4127403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49687 + ... + 49769.

It is an arithmetic number, because the mean of its divisors is an integer number (115824).

Almost surely, 2^4127424 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 4127424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6486144).

4127424 is an abundant number, since it is smaller than the sum of its proper divisors (8844864).

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

4127424 is a wasteful number, since it uses less digits than its factorization.

4127424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 132 counting only the distinct ones).

The product of its digits is 1792, while the sum is 24.

The square root of 4127424 is about 2031.6062610654. The cubic root of 4127424 is about 160.4081247452.

The spelling of 4127424 in words is "four million, one hundred twenty-seven thousand, four hundred twenty-four".