4633000 has 64 divisors (see below), whose sum is σ = 11203920. Its totient is φ = 1792000.

The previous prime is 4632997. The next prime is 4633001. The reversal of 4633000 is 3364.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 799236 + 3833764 = 894^2 + 1958^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4633001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40944 + ... + 41056.

Almost surely, 2^4633000 is an apocalyptic number.

4633000 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 4633000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601960).

4633000 is an abundant number, since it is smaller than the sum of its proper divisors (6570920).

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

4633000 is a wasteful number, since it uses less digits than its factorization.

4633000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 4633000 is about 2152.4404753674. The cubic root of 4633000 is about 166.7071013006.

Adding to 4633000 its reverse (3364), we get a palindrome (4636364).

The spelling of 4633000 in words is "four million, six hundred thirty-three thousand".