4955200 has 84 divisors (see below), whose sum is σ = 12913360. Its totient is φ = 1866240.

The previous prime is 4955179. The next prime is 4955221. The reversal of 4955200 is 25594.

It is an interprime number because it is at equal distance from previous prime (4955179) and next prime (4955221).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30319 + ... + 30481.

Almost surely, 2^4955200 is an apocalyptic number.

4955200 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 4955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6456680).

4955200 is an abundant number, since it is smaller than the sum of its proper divisors (7958160).

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

4955200 is a wasteful number, since it uses less digits than its factorization.

4955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 4955200 is about 2226.0278524762. The cubic root of 4955200 is about 170.4853488842.

The spelling of 4955200 in words is "four million, nine hundred fifty-five thousand, two hundred".