4905000 has 120 divisors (see below), whose sum is σ = 16752450. Its totient is φ = 1296000.

The previous prime is 4904989. The next prime is 4905001. The reversal of 4905000 is 5094.

It can be written as a sum of positive squares in 5 ways, for example, as 213444 + 4691556 = 462^2 + 2166^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (4905001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 44946 + ... + 45054.

Almost surely, 2^4905000 is an apocalyptic number.

4905000 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 4905000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8376225).

4905000 is an abundant number, since it is smaller than the sum of its proper divisors (11847450).

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

4905000 is a wasteful number, since it uses less digits than its factorization.

4905000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 4905000 is about 2214.7234590350. The cubic root of 4905000 is about 169.9076776684.

The spelling of 4905000 in words is "four million, nine hundred five thousand".