4953200 has 120 divisors (see below), whose sum is σ = 14299680. Its totient is φ = 1612800.

The previous prime is 4953199. The next prime is 4953209. The reversal of 4953200 is 23594.

4953200 = T₁₄₅ + T₁₄₆ + ... + T₃₁₉.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4953209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81170 + ... + 81230.

It is an arithmetic number, because the mean of its divisors is an integer number (119164).

Almost surely, 2^4953200 is an apocalyptic number.

4953200 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 4953200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7149840).

4953200 is an abundant number, since it is smaller than the sum of its proper divisors (9346480).

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

4953200 is a wasteful number, since it uses less digits than its factorization.

4953200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 4953200 is about 2225.5785764605. The cubic root of 4953200 is about 170.4624089032.

Adding to 4953200 its reverse (23594), we get a palindrome (4976794).

The spelling of 4953200 in words is "four million, nine hundred fifty-three thousand, two hundred".