4525200 has 120 divisors (see below), whose sum is σ = 16144800. Its totient is φ = 1203840.

The previous prime is 4525187. The next prime is 4525201. The reversal of 4525200 is 25254.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4525201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10591 + ... + 11009.

It is an arithmetic number, because the mean of its divisors is an integer number (134540).

Almost surely, 2^4525200 is an apocalyptic number.

4525200 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 4525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8072400).

4525200 is an abundant number, since it is smaller than the sum of its proper divisors (11619600).

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

4525200 is a wasteful number, since it uses less digits than its factorization.

4525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 4525200 is about 2127.2517481483. The cubic root of 4525200 is about 165.4039688353.

The spelling of 4525200 in words is "four million, five hundred twenty-five thousand, two hundred".