275424000 has 288 divisors, whose sum is σ = 969346560. Its totient is φ = 69120000.

The previous prime is 275423971. The next prime is 275424047. The reversal of 275424000 is 424572.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1823925 + ... + 1824075.

Almost surely, 2^275424000 is an apocalyptic number.

275424000 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 275424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484673280).

275424000 is an abundant number, since it is smaller than the sum of its proper divisors (693922560).

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

275424000 is a wasteful number, since it uses less digits than its factorization.

275424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 275424000 is about 16595.9031089001. The cubic root of 275424000 is about 650.6297643976.

Adding to 275424000 its reverse (424572), we get a palindrome (275848572).

The spelling of 275424000 in words is "two hundred seventy-five million, four hundred twenty-four thousand".