4948800 has 84 divisors (see below), whose sum is σ = 16251936. Its totient is φ = 1318400.

The previous prime is 4948777. The next prime is 4948807. The reversal of 4948800 is 88494.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4948807) 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, 4285 + ... + 5315.

Almost surely, 2^4948800 is an apocalyptic number.

4948800 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 4948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8125968).

4948800 is an abundant number, since it is smaller than the sum of its proper divisors (11303136).

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

4948800 is a wasteful number, since it uses less digits than its factorization.

4948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 4948800 is about 2224.5898498375. The cubic root of 4948800 is about 170.4119191998.

The spelling of 4948800 in words is "four million, nine hundred forty-eight thousand, eight hundred".