4978800 has 120 divisors (see below), whose sum is σ = 17759280. Its totient is φ = 1324800.

The previous prime is 4978783. The next prime is 4978801. The reversal of 4978800 is 88794.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4978801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10570 + ... + 11030.

It is an arithmetic number, because the mean of its divisors is an integer number (147994).

Almost surely, 2^4978800 is an apocalyptic number.

4978800 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 4978800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8879640).

4978800 is an abundant number, since it is smaller than the sum of its proper divisors (12780480).

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

4978800 is a wasteful number, since it uses less digits than its factorization.

4978800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 4978800 is about 2231.3224778144. The cubic root of 4978800 is about 170.7555756907.

It can be divided in two parts, 4978 and 800, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 4978800 in words is "four million, nine hundred seventy-eight thousand, eight hundred".