275801400 has 432 divisors, whose sum is σ = 1116390600. Its totient is φ = 60802560.

The previous prime is 275801399. The next prime is 275801411. The reversal of 275801400 is 4108572.

275801400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 107 ways as a sum of consecutive naturals, for example, 4674571 + ... + 4674629.

Almost surely, 2^275801400 is an apocalyptic number.

275801400 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 275801400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558195300).

275801400 is an abundant number, since it is smaller than the sum of its proper divisors (840589200).

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

275801400 is a wasteful number, since it uses less digits than its factorization.

275801400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 275801400 is about 16607.2694926047. The cubic root of 275801400 is about 650.9268041187.

Adding to 275801400 its reverse (4108572), we get a palindrome (279909972).

The spelling of 275801400 in words is "two hundred seventy-five million, eight hundred one thousand, four hundred".