4964200 has 24 divisors (see below), whose sum is σ = 11542230. Its totient is φ = 1985600.

The previous prime is 4964189. The next prime is 4964209. The reversal of 4964200 is 24694.

It can be written as a sum of positive squares in 3 ways, for example, as 2696164 + 2268036 = 1642^2 + 1506^2 .

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4964209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12211 + ... + 12610.

Almost surely, 2^4964200 is an apocalyptic number.

4964200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4964200 is an abundant number, since it is smaller than the sum of its proper divisors (6578030).

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

4964200 is a wasteful number, since it uses less digits than its factorization.

4964200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24837 (or 24828 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 4964200 is about 2228.0484734404. The cubic root of 4964200 is about 170.5885024826.

Adding to 4964200 its reverse (24694), we get a palindrome (4988894).

The spelling of 4964200 in words is "four million, nine hundred sixty-four thousand, two hundred".