4645800 has 144 divisors (see below), whose sum is σ = 16321500. Its totient is φ = 1182720.

The previous prime is 4645799. The next prime is 4645801. The reversal of 4645800 is 85464.

It is an interprime number because it is at equal distance from previous prime (4645799) and next prime (4645801).

It can be written as a sum of positive squares in 6 ways, for example, as 1028196 + 3617604 = 1014^2 + 1902^2 .

It is not an unprimeable number, because it can be changed into a prime (4645801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52156 + ... + 52244.

Almost surely, 2^4645800 is an apocalyptic number.

4645800 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 4645800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8160750).

4645800 is an abundant number, since it is smaller than the sum of its proper divisors (11675700).

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

4645800 is a wasteful number, since it uses less digits than its factorization.

4645800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 128 counting only the distinct ones).

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

The square root of 4645800 is about 2155.4117936023. The cubic root of 4645800 is about 166.8604856290.

It can be divided in two parts, 4645 and 800, that added together give a palindrome (5445).

The spelling of 4645800 in words is "four million, six hundred forty-five thousand, eight hundred".