4774400 has 60 divisors (see below), whose sum is σ = 11860662. Its totient is φ = 1904640.

The previous prime is 4774391. The next prime is 4774411. The reversal of 4774400 is 44774.

It can be written as a sum of positive squares in 3 ways, for example, as 3625216 + 1149184 = 1904^2 + 1072^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4774400.

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 5 ways as a sum of consecutive naturals, for example, 12614 + ... + 12986.

Almost surely, 2^4774400 is an apocalyptic number.

4774400 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 4774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5930331).

4774400 is an abundant number, since it is smaller than the sum of its proper divisors (7086262).

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

4774400 is an equidigital number, since it uses as much as digits as its factorization.

4774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 4774400 is about 2185.0400453996. The cubic root of 4774400 is about 168.3861111724.

It can be divided in two parts, 47 and 74400, that added together give a palindrome (74447).

The spelling of 4774400 in words is "four million, seven hundred seventy-four thousand, four hundred".