4915200 has 102 divisors (see below), whose sum is σ = 16252804. Its totient is φ = 1310720.

The previous prime is 4915171. The next prime is 4915217. The reversal of 4915200 is 25194.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 983038 + ... + 983042.

Almost surely, 2^4915200 is an apocalyptic number.

4915200 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 4915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8126402).

4915200 is an abundant number, since it is smaller than the sum of its proper divisors (11337604).

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

4915200 is an frugal number, since it uses more digits than its factorization.

4915200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 4915200 is about 2217.0250336882. The cubic root of 4915200 is about 170.0253710692.

It can be divided in two parts, 4915 and 200, that added together give a palindrome (5115).

The spelling of 4915200 in words is "four million, nine hundred fifteen thousand, two hundred".