275666400 has 108 divisors (see below), whose sum is σ = 972094032. Its totient is φ = 73509120.

The previous prime is 275666371. The next prime is 275666401. The reversal of 275666400 is 4666572.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275666401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11944 + ... + 26343.

Almost surely, 2^275666400 is an apocalyptic number.

275666400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

275666400 is an abundant number, since it is smaller than the sum of its proper divisors (696427632).

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

275666400 is a wasteful number, since it uses less digits than its factorization.

275666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38313 (or 38297 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 275666400 is about 16603.2045099734. The cubic root of 275666400 is about 650.8205809931.

The spelling of 275666400 in words is "two hundred seventy-five million, six hundred sixty-six thousand, four hundred".