4057440 has 96 divisors (see below), whose sum is σ = 13063680. Its totient is φ = 1058304.

The previous prime is 4057423. The next prime is 4057451. The reversal of 4057440 is 447504.

4057440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 4057440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37867 + ... + 37973.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

Almost surely, 2^4057440 is an apocalyptic number.

4057440 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 4057440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840).

4057440 is an abundant number, since it is smaller than the sum of its proper divisors (9006240).

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

4057440 is a wasteful number, since it uses less digits than its factorization.

4057440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 4057440 is about 2014.3088144572. The cubic root of 4057440 is about 159.4963328265.

The spelling of 4057440 in words is "four million, fifty-seven thousand, four hundred forty".