4610000 has 50 divisors (see below), whose sum is σ = 11185482. Its totient is φ = 1840000.

The previous prime is 4609949. The next prime is 4610003. The reversal of 4610000 is 164.

It can be written as a sum of positive squares in 5 ways, for example, as 2226064 + 2383936 = 1492^2 + 1544^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4610003) 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 9 ways as a sum of consecutive naturals, for example, 9770 + ... + 10230.

Almost surely, 2^4610000 is an apocalyptic number.

4610000 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 4610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5592741).

4610000 is an abundant number, since it is smaller than the sum of its proper divisors (6575482).

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

4610000 is an equidigital number, since it uses as much as digits as its factorization.

4610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 4610000 is about 2147.0910553584. The cubic root of 4610000 is about 166.4307774062.

Adding to 4610000 its reverse (164), we get a palindrome (4610164).

The spelling of 4610000 in words is "four million, six hundred ten thousand".