4045760 has 56 divisors (see below), whose sum is σ = 9875520. Its totient is φ = 1577984.

The previous prime is 4045721. The next prime is 4045763. The reversal of 4045760 is 675404.

4045760 = 17³ + 18³ + ... + 63³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4045763) 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, 14906 + ... + 15174.

Almost surely, 2^4045760 is an apocalyptic number.

4045760 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 4045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4937760).

4045760 is an abundant number, since it is smaller than the sum of its proper divisors (5829760).

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

4045760 is a wasteful number, since it uses less digits than its factorization.

4045760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 4045760 is about 2011.4074674218. The cubic root of 4045760 is about 159.3431403700.

The spelling of 4045760 in words is "four million, forty-five thousand, seven hundred sixty".