275835000 has 320 divisors, whose sum is σ = 1025671680. Its totient is φ = 60480000.

The previous prime is 275834947. The next prime is 275835011. The reversal of 275835000 is 538572.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3884965 + ... + 3885035.

It is an arithmetic number, because the mean of its divisors is an integer number (3205224).

Almost surely, 2^275835000 is an apocalyptic number.

275835000 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 275835000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512835840).

275835000 is an abundant number, since it is smaller than the sum of its proper divisors (749836680).

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

275835000 is a wasteful number, since it uses less digits than its factorization.

275835000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 275835000 is about 16608.2810669858. The cubic root of 275835000 is about 650.9532364870.

The spelling of 275835000 in words is "two hundred seventy-five million, eight hundred thirty-five thousand".