4778400 has 144 divisors (see below), whose sum is σ = 17061408. Its totient is φ = 1152000.

The previous prime is 4778399. The next prime is 4778407. The reversal of 4778400 is 48774.

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

It is not an unprimeable number, because it can be changed into a prime (4778407) 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, 26310 + ... + 26490.

It is an arithmetic number, because the mean of its divisors is an integer number (118482).

Almost surely, 2^4778400 is an apocalyptic number.

4778400 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 4778400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530704).

4778400 is an abundant number, since it is smaller than the sum of its proper divisors (12283008).

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

4778400 is a wasteful number, since it uses less digits than its factorization.

4778400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 4778400 is about 2185.9551687992. The cubic root of 4778400 is about 168.4331227643.

The spelling of 4778400 in words is "four million, seven hundred seventy-eight thousand, four hundred".