4500405 has 72 divisors (see below), whose sum is σ = 9834552. Its totient is φ = 1886976.

The previous prime is 4500401. The next prime is 4500407. The reversal of 4500405 is 5040054.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1764 + 4498641 = 42^2 + 2121^2 .

It is not a de Polignac number, because 4500405 - 2² = 4500401 is a prime.

4500405 is a modest number, since divided by 405 gives 45 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4500401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28587 + ... + 28743.

It is an arithmetic number, because the mean of its divisors is an integer number (136591).

Almost surely, 2^4500405 is an apocalyptic number.

4500405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4500405 is an abundant number, since it is smaller than the sum of its proper divisors (5334147).

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

4500405 is a wasteful number, since it uses less digits than its factorization.

4500405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 4500405 is about 2121.4158008274. The cubic root of 4500405 is about 165.1013151870.

Adding to 4500405 its reverse (5040054), we get a palindrome (9540459).

It can be divided in two parts, 4500 and 405, that multiplied together give a square (1822500 = 1350²).

The spelling of 4500405 in words is "four million, five hundred thousand, four hundred five".