4650400 has 36 divisors (see below), whose sum is σ = 11354742. Its totient is φ = 1859840.

The previous prime is 4650391. The next prime is 4650427. The reversal of 4650400 is 40564.

It can be written as a sum of positive squares in 3 ways, for example, as 3825936 + 824464 = 1956^2 + 908^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2107 + ... + 3706.

Almost surely, 2^4650400 is an apocalyptic number.

4650400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4650400 is an abundant number, since it is smaller than the sum of its proper divisors (6704342).

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

4650400 is a wasteful number, since it uses less digits than its factorization.

4650400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5833 (or 5820 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 4650400 is about 2156.4786110694. The cubic root of 4650400 is about 166.9155393006.

Adding to 4650400 its reverse (40564), we get a palindrome (4690964).

It can be divided in two parts, 4650 and 400, that added together give a triangular number (5050 = T₁₀₀).

The spelling of 4650400 in words is "four million, six hundred fifty thousand, four hundred".