4157080 has 32 divisors (see below), whose sum is σ = 9453600. Its totient is φ = 1645056.

The previous prime is 4157077. The next prime is 4157093. The reversal of 4157080 is 807514.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3616 + ... + 4624.

It is an arithmetic number, because the mean of its divisors is an integer number (295425).

Almost surely, 2^4157080 is an apocalyptic number.

4157080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4157080 is an abundant number, since it is smaller than the sum of its proper divisors (5296520).

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

4157080 is a wasteful number, since it uses less digits than its factorization.

4157080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 4157080 is about 2038.8918558864. The cubic root of 4157080 is about 160.7913916664.

It can be divided in two parts, 41 and 57080, that added together give a square (57121 = 239²).

The spelling of 4157080 in words is "four million, one hundred fifty-seven thousand, eighty".