4536000 has 280 divisors, whose sum is σ = 19178016. Its totient is φ = 1036800.

The previous prime is 4535989. The next prime is 4536019. The reversal of 4536000 is 6354.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 647997 + ... + 648003.

Almost surely, 2^4536000 is an apocalyptic number.

4536000 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 4536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9589008).

4536000 is an abundant number, since it is smaller than the sum of its proper divisors (14642016).

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

4536000 is an equidigital number, since it uses as much as digits as its factorization.

4536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 4536000 is about 2129.7887219159. The cubic root of 4536000 is about 165.5354505829.

The spelling of 4536000 in words is "four million, five hundred thirty-six thousand".