4156480 has 56 divisors (see below), whose sum is σ = 10241280. Its totient is φ = 1605120.

The previous prime is 4156447. The next prime is 4156507. The reversal of 4156480 is 846514.

4156480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4156480³ (a number of 21 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9711 + ... + 10129.

It is an arithmetic number, because the mean of its divisors is an integer number (182880).

Almost surely, 2^4156480 is an apocalyptic number.

4156480 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 4156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120640).

4156480 is an abundant number, since it is smaller than the sum of its proper divisors (6084800).

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

4156480 is a wasteful number, since it uses less digits than its factorization.

4156480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 4156480 is about 2038.7447118264. The cubic root of 4156480 is about 160.7836555089.

The spelling of 4156480 in words is "four million, one hundred fifty-six thousand, four hundred eighty".