275351040 has 480 divisors, whose sum is σ = 1091581920. Its totient is φ = 63700992.

The previous prime is 275351029. The next prime is 275351071. The reversal of 275351040 is 40153572.

It is a happy number.

275351040 is a `hidden beast` number, since 27 + 535 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 275350995 and 275351013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7441902 + ... + 7441938.

It is an arithmetic number, because the mean of its divisors is an integer number (2274129).

Almost surely, 2^275351040 is an apocalyptic number.

275351040 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 275351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545790960).

275351040 is an abundant number, since it is smaller than the sum of its proper divisors (816230880).

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

275351040 is a wasteful number, since it uses less digits than its factorization.

275351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 275351040 is about 16593.7048304470. The cubic root of 275351040 is about 650.5723085721.

The spelling of 275351040 in words is "two hundred seventy-five million, three hundred fifty-one thousand, forty".