4735272400 has 30 divisors (see below), whose sum is σ = 11376492902. Its totient is φ = 1894108800.

The previous prime is 4735272383. The next prime is 4735272401. The reversal of 4735272400 is 42725374.

It can be written as a sum of positive squares in 3 ways, for example, as 7884864 + 4727387536 = 2808^2 + 68756^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4735272401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5918691 + ... + 5919490.

Almost surely, 2^4735272400 is an apocalyptic number.

4735272400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4735272400 is an abundant number, since it is smaller than the sum of its proper divisors (6641220502).

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

4735272400 is a wasteful number, since it uses less digits than its factorization.

4735272400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11838199 (or 11838188 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 34.

The square root of 4735272400 is about 68813.3155719153. The cubic root of 4735272400 is about 1679.2485774116.

Adding to 4735272400 its reverse (42725374), we get a palindrome (4777997774).

The spelling of 4735272400 in words is "four billion, seven hundred thirty-five million, two hundred seventy-two thousand, four hundred".