4009824 has 240 divisors, whose sum is σ = 15367968. Its totient is φ = 995328.

The previous prime is 4009823. The next prime is 4009849. The reversal of 4009824 is 4289004.

4009824 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4009823) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235864 + ... + 235880.

Almost surely, 2^4009824 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 4009824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7683984).

4009824 is an abundant number, since it is smaller than the sum of its proper divisors (11358144).

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

4009824 is a wasteful number, since it uses less digits than its factorization.

4009824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4009824 is about 2002.4544938650. The cubic root of 4009824 is about 158.8699541845.

The spelling of 4009824 in words is "four million, nine thousand, eight hundred twenty-four".