4652400 has 60 divisors (see below), whose sum is σ = 14907032. Its totient is φ = 1240320.

The previous prime is 4652353. The next prime is 4652507. The reversal of 4652400 is 42564.

It is a happy number.

4652400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 739 + ... + 3138.

Almost surely, 2^4652400 is an apocalyptic number.

4652400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4652400 is an abundant number, since it is smaller than the sum of its proper divisors (10254632).

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

4652400 is a wasteful number, since it uses less digits than its factorization.

4652400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3898 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 4652400 is about 2156.9422801735. The cubic root of 4652400 is about 166.9394643560.

Adding to 4652400 its reverse (42564), we get a palindrome (4694964).

The spelling of 4652400 in words is "four million, six hundred fifty-two thousand, four hundred".