4974400 has 42 divisors (see below), whose sum is σ = 12244070. Its totient is φ = 1989120.

The previous prime is 4974397. The next prime is 4974401. The reversal of 4974400 is 44794.

It can be written as a sum of positive squares in 3 ways, for example, as 28224 + 4946176 = 168^2 + 2224^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4974401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46 + ... + 3154.

Almost surely, 2^4974400 is an apocalyptic number.

4974400 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 4974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6122035).

4974400 is an abundant number, since it is smaller than the sum of its proper divisors (7269670).

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

4974400 is a wasteful number, since it uses less digits than its factorization.

4974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 4974400 is about 2230.3362975121. The cubic root of 4974400 is about 170.7052592846.

The spelling of 4974400 in words is "four million, nine hundred seventy-four thousand, four hundred".