4506120 has 48 divisors (see below), whose sum is σ = 14646060. Its totient is φ = 1201536.

The previous prime is 4506109. The next prime is 4506121. The reversal of 4506120 is 216054.

It is a happy number.

4506120 is a `hidden beast` number, since 4 + 50 + 612 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4334724 + 171396 = 2082^2 + 414^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4506093 and 4506102.

It is not an unprimeable number, because it can be changed into a prime (4506121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5899 + ... + 6618.

Almost surely, 2^4506120 is an apocalyptic number.

4506120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4506120 is an abundant number, since it is smaller than the sum of its proper divisors (10139940).

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

4506120 is a wasteful number, since it uses less digits than its factorization.

4506120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12534 (or 12527 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4506120 is about 2122.7623512772. The cubic root of 4506120 is about 165.1711722255.

The spelling of 4506120 in words is "four million, five hundred six thousand, one hundred twenty".