275904000 has 240 divisors, whose sum is σ = 995829120. Its totient is φ = 73420800.

The previous prime is 275903989. The next prime is 275904007. The reversal of 275904000 is 409572.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×275904000² = 152246034432000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275904007) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 575761 + ... + 576239.

It is an arithmetic number, because the mean of its divisors is an integer number (4149288).

Almost surely, 2^275904000 is an apocalyptic number.

275904000 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 275904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497914560).

275904000 is an abundant number, since it is smaller than the sum of its proper divisors (719925120).

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

275904000 is an equidigital number, since it uses as much as digits as its factorization.

275904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 275904000 is about 16610.3582140783. The cubic root of 275904000 is about 651.0075105138.

The spelling of 275904000 in words is "two hundred seventy-five million, nine hundred four thousand".