4053840 has 160 divisors (see below), whose sum is σ = 15237120. Its totient is φ = 870912.

The previous prime is 4053799. The next prime is 4053851. The reversal of 4053840 is 483504.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4053840.

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 31 ways as a sum of consecutive naturals, for example, 31857 + ... + 31983.

It is an arithmetic number, because the mean of its divisors is an integer number (95232).

Almost surely, 2^4053840 is an apocalyptic number.

4053840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4053840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7618560).

4053840 is an abundant number, since it is smaller than the sum of its proper divisors (11183280).

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

4053840 is a wasteful number, since it uses less digits than its factorization.

4053840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4053840 is about 2013.4150093808. The cubic root of 4053840 is about 159.4491473516.

The spelling of 4053840 in words is "four million, fifty-three thousand, eight hundred forty".