275630400 has 126 divisors (see below), whose sum is σ = 979706702. Its totient is φ = 73497600.

The previous prime is 275630357. The next prime is 275630423. The reversal of 275630400 is 4036572.

It is a happy number.

275630400 is a `hidden beast` number, since 27 + 5 + 630 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 20142144 + 255488256 = 4488^2 + 15984^2 .

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 4830 + ... + 23970.

Almost surely, 2^275630400 is an apocalyptic number.

275630400 is a gapful number since it is divisible by the number (20) 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 275630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489853351).

275630400 is an abundant number, since it is smaller than the sum of its proper divisors (704076302).

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

275630400 is a wasteful number, since it uses less digits than its factorization.

275630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19169 (or 19151 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 275630400 is about 16602.1203465100. The cubic root of 275630400 is about 650.7922489695.

Adding to 275630400 its reverse (4036572), we get a palindrome (279666972).

The spelling of 275630400 in words is "two hundred seventy-five million, six hundred thirty thousand, four hundred".