4652800 has 54 divisors (see below), whose sum is σ = 11532248. Its totient is φ = 1858560.

The previous prime is 4652783. The next prime is 4652807. The reversal of 4652800 is 82564.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4652807) 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 5 ways as a sum of consecutive naturals, for example, 6037 + ... + 6763.

Almost surely, 2^4652800 is an apocalyptic number.

4652800 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 4652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5766124).

4652800 is an abundant number, since it is smaller than the sum of its proper divisors (6879448).

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

4652800 is an equidigital number, since it uses as much as digits as its factorization.

4652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 4652800 is about 2157.0350020340. The cubic root of 4652800 is about 166.9442485443.

Subtracting from 4652800 its sum of digits (25), we obtain a triangular number (4652775 = T₃₀₅₀).

The spelling of 4652800 in words is "four million, six hundred fifty-two thousand, eight hundred".