4057480 has 64 divisors (see below), whose sum is σ = 10707840. Its totient is φ = 1354752.

The previous prime is 4057451. The next prime is 4057511. The reversal of 4057480 is 847504.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 11872 + ... + 12208.

It is an arithmetic number, because the mean of its divisors is an integer number (167310).

Almost surely, 2^4057480 is an apocalyptic number.

4057480 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 4057480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353920).

4057480 is an abundant number, since it is smaller than the sum of its proper divisors (6650360).

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

4057480 is a wasteful number, since it uses less digits than its factorization.

4057480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 4057480 is about 2014.3187433969. The cubic root of 4057480 is about 159.4968569527.

The spelling of 4057480 in words is "four million, fifty-seven thousand, four hundred eighty".