4652000 has 48 divisors (see below), whose sum is σ = 11439792. Its totient is φ = 1859200.

The previous prime is 4651987. The next prime is 4652027. The reversal of 4652000 is 2564.

It is a super-2 number, since 2×4652000² = 43282208000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4652000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3419 + ... + 4581.

It is an arithmetic number, because the mean of its divisors is an integer number (238329).

Almost surely, 2^4652000 is an apocalyptic number.

4652000 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 4652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5719896).

4652000 is an abundant number, since it is smaller than the sum of its proper divisors (6787792).

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

4652000 is a wasteful number, since it uses less digits than its factorization.

4652000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 4652000 is about 2156.8495543269. The cubic root of 4652000 is about 166.9346798936.

Adding to 4652000 its reverse (2564), we get a palindrome (4654564).

The spelling of 4652000 in words is "four million, six hundred fifty-two thousand".