4053504 has 160 divisors (see below), whose sum is σ = 13749120. Its totient is φ = 1032192.

The previous prime is 4053503. The next prime is 4053523.

It is a happy number.

4053504 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 (4053503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139762 + ... + 139790.

It is an arithmetic number, because the mean of its divisors is an integer number (85932).

Almost surely, 2^4053504 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 4053504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6874560).

4053504 is an abundant number, since it is smaller than the sum of its proper divisors (9695616).

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

4053504 is a wasteful number, since it uses less digits than its factorization.

4053504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 4053504 is about 2013.3315673281. The cubic root of 4053504 is about 159.4447419488. Note that the first 3 decimals are identical.

The spelling of 4053504 in words is "four million, fifty-three thousand, five hundred four".