4560000 has 160 divisors (see below), whose sum is σ = 15932400. Its totient is φ = 1152000.

The previous prime is 4559983. The next prime is 4560001. The reversal of 4560000 is 654.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (4560001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 239991 + ... + 240009.

Almost surely, 2^4560000 is an apocalyptic number.

4560000 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 4560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7966200).

4560000 is an abundant number, since it is smaller than the sum of its proper divisors (11372400).

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

4560000 is an equidigital number, since it uses as much as digits as its factorization.

4560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 4560000 is about 2135.4156504063. The cubic root of 4560000 is about 165.8268868370.

Adding to 4560000 its reverse (654), we get a palindrome (4560654).

The spelling of 4560000 in words is "four million, five hundred sixty thousand".