4959600 has 60 divisors (see below), whose sum is σ = 15891096. Its totient is φ = 1322240.

The previous prime is 4959593. The next prime is 4959637. The reversal of 4959600 is 69594.

It is a happy number.

4959600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 867 + ... + 3266.

Almost surely, 2^4959600 is an apocalyptic number.

4959600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4959600 is an abundant number, since it is smaller than the sum of its proper divisors (10931496).

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

4959600 is a wasteful number, since it uses less digits than its factorization.

4959600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4154 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 4959600 is about 2227.0159406704. The cubic root of 4959600 is about 170.5357951236.

The spelling of 4959600 in words is "four million, nine hundred fifty-nine thousand, six hundred".