275361240 has 256 divisors, whose sum is σ = 1091128320. Its totient is φ = 53821440.

The previous prime is 275361227. The next prime is 275361241. The reversal of 275361240 is 42163572.

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

It is a junction number, because it is equal to n+sod(n) for n = 275361198 and 275361207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275361241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156204 + ... + 157956.

It is an arithmetic number, because the mean of its divisors is an integer number (4262220).

Almost surely, 2^275361240 is an apocalyptic number.

275361240 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 275361240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545564160).

275361240 is an abundant number, since it is smaller than the sum of its proper divisors (815767080).

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

275361240 is a wasteful number, since it uses less digits than its factorization.

275361240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 275361240 is about 16594.0121730701. The cubic root of 275361240 is about 650.5803416580.

The spelling of 275361240 in words is "two hundred seventy-five million, three hundred sixty-one thousand, two hundred forty".