4056480 has 120 divisors (see below), whose sum is σ = 14361732. Its totient is φ = 1078272.

The previous prime is 4056473. The next prime is 4056509. The reversal of 4056480 is 846504.

It can be written as a sum of positive squares in 2 ways, for example, as 3370896 + 685584 = 1836^2 + 828^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12804 + ... + 13116.

Almost surely, 2^4056480 is an apocalyptic number.

4056480 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 4056480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7180866).

4056480 is an abundant number, since it is smaller than the sum of its proper divisors (10305252).

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

4056480 is a wasteful number, since it uses less digits than its factorization.

4056480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4056480 is about 2014.0705052207. The cubic root of 4056480 is about 159.4837527631.

It can be divided in two parts, 405 and 6480, that multiplied together give a square (2624400 = 1620²).

The spelling of 4056480 in words is "four million, fifty-six thousand, four hundred eighty".