4748800 has 120 divisors (see below), whose sum is σ = 13700016. Its totient is φ = 1597440.

The previous prime is 4748771. The next prime is 4748813. The reversal of 4748800 is 88474.

It is a super-2 number, since 2×4748800² = 45102202880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89574 + ... + 89626.

Almost surely, 2^4748800 is an apocalyptic number.

4748800 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 4748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6850008).

4748800 is an abundant number, since it is smaller than the sum of its proper divisors (8951216).

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

4748800 is an equidigital number, since it uses as much as digits as its factorization.

4748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 4748800 is about 2179.1741555002. The cubic root of 4748800 is about 168.0846134618.

Subtracting from 4748800 its product of nonzero digits (7168), we obtain a cube (4741632 = 168³).

The spelling of 4748800 in words is "four million, seven hundred forty-eight thousand, eight hundred".