4051824 has 80 divisors (see below), whose sum is σ = 12380160. Its totient is φ = 1117440.

The previous prime is 4051819. The next prime is 4051829. The reversal of 4051824 is 4281504.

It is an interprime number because it is at equal distance from previous prime (4051819) and next prime (4051829).

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

It is a junction number, because it is equal to n+sod(n) for n = 4051794 and 4051803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4051829) by changing a digit.

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, 10222 + ... + 10610.

It is an arithmetic number, because the mean of its divisors is an integer number (154752).

Almost surely, 2^4051824 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 4051824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190080).

4051824 is an abundant number, since it is smaller than the sum of its proper divisors (8328336).

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

4051824 is a wasteful number, since it uses less digits than its factorization.

4051824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 4051824 is about 2012.9143051804. The cubic root of 4051824 is about 159.4227112826.

It can be divided in two parts, 405 and 1824, that multiplied together give a triangular number (738720 = T₁₂₁₅).

The spelling of 4051824 in words is "four million, fifty-one thousand, eight hundred twenty-four".