4795200 has 210 divisors, whose sum is σ = 18102326. Its totient is φ = 1244160.

The previous prime is 4795199. The next prime is 4795223. The reversal of 4795200 is 25974.

It can be written as a sum of positive squares in 3 ways, for example, as 1016064 + 3779136 = 1008^2 + 1944^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 129582 + ... + 129618.

Almost surely, 2^4795200 is an apocalyptic number.

4795200 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 4795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9051163).

4795200 is an abundant number, since it is smaller than the sum of its proper divisors (13307126).

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

4795200 is a wasteful number, since it uses less digits than its factorization.

4795200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 4795200 is about 2189.7945109074. The cubic root of 4795200 is about 168.6302854626.

The spelling of 4795200 in words is "four million, seven hundred ninety-five thousand, two hundred".