4546080 has 288 divisors, whose sum is σ = 19813248. Its totient is φ = 921600.

The previous prime is 4546051. The next prime is 4546081. The reversal of 4546080 is 806454.

4546080 is a `hidden beast` number, since 4 + 54 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (4546081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110860 + ... + 110900.

It is an arithmetic number, because the mean of its divisors is an integer number (68796).

Almost surely, 2^4546080 is an apocalyptic number.

4546080 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 4546080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9906624).

4546080 is an abundant number, since it is smaller than the sum of its proper divisors (15267168).

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

4546080 is a wasteful number, since it uses less digits than its factorization.

4546080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 69 counting only the distinct ones).

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

The square root of 4546080 is about 2132.1538406034. The cubic root of 4546080 is about 165.6579787183.

It can be divided in two parts, 45 and 46080, that multiplied together give a square (2073600 = 1440²).

The spelling of 4546080 in words is "four million, five hundred forty-six thousand, eighty".