2455200 has 216 divisors, whose sum is σ = 9749376. Its totient is φ = 576000.

The previous prime is 2455183. The next prime is 2455207. The reversal of 2455200 is 25542.

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

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (2455207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79185 + ... + 79215.

It is an arithmetic number, because the mean of its divisors is an integer number (45136).

2^2455200 is an apocalyptic number.

2455200 is a gapful number since it is divisible by the number (20) 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 2455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874688).

2455200 is an abundant number, since it is smaller than the sum of its proper divisors (7294176).

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

2455200 is a wasteful number, since it uses less digits than its factorization.

2455200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 52 counting only the distinct ones).

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

The square root of 2455200 is about 1566.9077828641. The cubic root of 2455200 is about 134.9052833561.

It can be divided in two parts, 245 and 5200, that added together give a palindrome (5445).

The spelling of 2455200 in words is "two million, four hundred fifty-five thousand, two hundred".