4947600 has 240 divisors, whose sum is σ = 19681280. Its totient is φ = 1036800.

The previous prime is 4947589. The next prime is 4947601. The reversal of 4947600 is 67494.

4947600 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 (240).

It is a super-3 number, since 3×4947600³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4947601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159585 + ... + 159615.

Almost surely, 2^4947600 is an apocalyptic number.

4947600 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 4947600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9840640).

4947600 is an abundant number, since it is smaller than the sum of its proper divisors (14733680).

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

4947600 is a wasteful number, since it uses less digits than its factorization.

4947600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 4947600 is about 2224.3201208459. The cubic root of 4947600 is about 170.3981440870.

The spelling of 4947600 in words is "four million, nine hundred forty-seven thousand, six hundred".