4057760 has 48 divisors (see below), whose sum is σ = 10958976. Its totient is φ = 1390848.

The previous prime is 4057759. The next prime is 4057769. The reversal of 4057760 is 677504.

4057760 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4057760³ (a number of 21 digits) contains 333 as substring.

4057760 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4057769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 692 + ... + 2931.

It is an arithmetic number, because the mean of its divisors is an integer number (228312).

Almost surely, 2^4057760 is an apocalyptic number.

4057760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4057760 is an abundant number, since it is smaller than the sum of its proper divisors (6901216).

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

4057760 is a wasteful number, since it uses less digits than its factorization.

4057760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3645 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 4057760 is about 2014.3882446043. The cubic root of 4057760 is about 159.5005257400.

It can be divided in two parts, 40 and 57760, that multiplied together give a square (2310400 = 1520²).

The spelling of 4057760 in words is "four million, fifty-seven thousand, seven hundred sixty".