4961200 has 60 divisors (see below), whose sum is σ = 12147040. Its totient is φ = 1946880.

The previous prime is 4961183. The next prime is 4961207. The reversal of 4961200 is 21694.

It is a super-2 number, since 2×4961200² = 49227010880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4961207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31522 + ... + 31678.

Almost surely, 2^4961200 is an apocalyptic number.

4961200 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 4961200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6073520).

4961200 is an abundant number, since it is smaller than the sum of its proper divisors (7185840).

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

4961200 is a wasteful number, since it uses less digits than its factorization.

4961200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 4961200 is about 2227.3751367922. The cubic root of 4961200 is about 170.5541318131.

Adding to 4961200 its reverse (21694), we get a palindrome (4982894).

The spelling of 4961200 in words is "four million, nine hundred sixty-one thousand, two hundred".