4057560 has 192 divisors, whose sum is σ = 15472800. Its totient is φ = 940032.

The previous prime is 4057553. The next prime is 4057561. The reversal of 4057560 is 657504.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4057561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238672 + ... + 238688.

Almost surely, 2^4057560 is an apocalyptic number.

4057560 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 4057560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7736400).

4057560 is an abundant number, since it is smaller than the sum of its proper divisors (11415240).

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

4057560 is a wasteful number, since it uses less digits than its factorization.

4057560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 4057560 is about 2014.3386011294. The cubic root of 4057560 is about 159.4979051949.

It can be divided in two parts, 40 and 57560, that added together give a square (57600 = 240²).

The spelling of 4057560 in words is "four million, fifty-seven thousand, five hundred sixty".