4057824 has 48 divisors (see below), whose sum is σ = 10910592. Its totient is φ = 1319808.

The previous prime is 4057813. The next prime is 4057829. The reversal of 4057824 is 4287504.

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

It is a super-2 number, since 2×4057824² = 32931871229952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4057791 and 4057800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4057829) 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 7 ways as a sum of consecutive naturals, for example, 3637 + ... + 4619.

It is an arithmetic number, because the mean of its divisors is an integer number (227304).

Almost surely, 2^4057824 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 4057824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5455296).

4057824 is an abundant number, since it is smaller than the sum of its proper divisors (6852768).

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

4057824 is a wasteful number, since it uses less digits than its factorization.

4057824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 4057824 is about 2014.4041302579. The cubic root of 4057824 is about 159.5013642962.

The spelling of 4057824 in words is "four million, fifty-seven thousand, eight hundred twenty-four".