4965200 has 30 divisors (see below), whose sum is σ = 11929854. Its totient is φ = 1985920.

The previous prime is 4965197. The next prime is 4965203. The reversal of 4965200 is 25694.

It is an interprime number because it is at equal distance from previous prime (4965197) and next prime (4965203).

It can be written as a sum of positive squares in 3 ways, for example, as 107584 + 4857616 = 328^2 + 2204^2 .

It is a super-2 number, since 2×4965200² = 49306422080000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4965200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4965203) 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, 5807 + ... + 6606.

Almost surely, 2^4965200 is an apocalyptic number.

4965200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4965200 is an abundant number, since it is smaller than the sum of its proper divisors (6964654).

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

4965200 is a wasteful number, since it uses less digits than its factorization.

4965200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12431 (or 12420 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 4965200 is about 2228.2728737747. The cubic root of 4965200 is about 170.5999562952.

The spelling of 4965200 in words is "four million, nine hundred sixty-five thousand, two hundred".