4730400 has 180 divisors, whose sum is σ = 17487162. Its totient is φ = 1244160.

The previous prime is 4730389. The next prime is 4730417. The reversal of 4730400 is 40374.

It can be written as a sum of positive squares in 3 ways, for example, as 3640464 + 1089936 = 1908^2 + 1044^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

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 29 ways as a sum of consecutive naturals, for example, 64764 + ... + 64836.

Almost surely, 2^4730400 is an apocalyptic number.

4730400 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 4730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8743581).

4730400 is an abundant number, since it is smaller than the sum of its proper divisors (12756762).

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

4730400 is a wasteful number, since it uses less digits than its factorization.

4730400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 4730400 is about 2174.9482752470. The cubic root of 4730400 is about 167.8672420577.

Adding to 4730400 its reverse (40374), we get a palindrome (4770774).

The spelling of 4730400 in words is "four million, seven hundred thirty thousand, four hundred".